Class 12th Physics Part I CBSE Solution
Exercises- Predict the direction of induced current in the situations described by the following…
- Use Lenz’s law to determine the direction of induced current in the situations described…
- A long solenoid with 15 turns per cm has a small loop of area 2.0 cm^2 placed inside the…
- A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region…
- A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s-1 about an…
- A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with…
- A horizontal straight wire 10 m long extending from east to west is falling with a speed…
- Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V…
- A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil…
- A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage…
Additional Exercises- Suppose the loop in Exercise 6.4 is stationary but the current feeding the electromagnet…
- A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a…
- It is desired to measure the magnitude of field between the poles of a powerful loud…
- Figure 6.20 shows a metal rod PQ resting on the smooth rails AB and positioned between the…
- An air - cored solenoid with length 30 cm, area of cross - section 25 cm^2 and number of…
- Obtain an expression for the mutual inductance between a long straight wire and a square…
- Now assume that the straight wire carries a current of 50 A and the loop is moved to the…
- A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and…
- Predict the direction of induced current in the situations described by the following…
- Use Lenz’s law to determine the direction of induced current in the situations described…
- A long solenoid with 15 turns per cm has a small loop of area 2.0 cm^2 placed inside the…
- A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region…
- A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s-1 about an…
- A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with…
- A horizontal straight wire 10 m long extending from east to west is falling with a speed…
- Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V…
- A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil…
- A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage…
- Suppose the loop in Exercise 6.4 is stationary but the current feeding the electromagnet…
- A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a…
- It is desired to measure the magnitude of field between the poles of a powerful loud…
- Figure 6.20 shows a metal rod PQ resting on the smooth rails AB and positioned between the…
- An air - cored solenoid with length 30 cm, area of cross - section 25 cm^2 and number of…
- Obtain an expression for the mutual inductance between a long straight wire and a square…
- Now assume that the straight wire carries a current of 50 A and the loop is moved to the…
- A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and…
Exercises
Question 1.Predict the direction of induced current in the situations described by the following Figs. 6.18(a) to (f).
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)
Answer:The direction of induced current will be given by Lenz’s law.
According to the Lenz’s law: The direction of induced current by change in magnetic field (Faraday’s induction) will be such that it opposes the change that caused it.
As seen from the given figures, the direction of the induced current is shown when the north pole of the magnet is moved towards the closed loop or away from the closed loop.
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)
Question 2.Use Lenz’s law to determine the direction of induced current in the situations described by Fig. 6.19:
(a) A wire of irregular shape turning into a circular shape;
(b) A circular loop being deformed into a narrow straight wire.
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)
Answer:According to the Lenz’s law: The direction of induced current by change in magnetic field (Faraday’s induction) will be such that it opposes the change that caused it.
(a) In the figure given below, the direction of magnetic field is perpendicular into the paper.
![](data:image/jpeg;base64,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Now, when we change the shape of irregular loop into a circular loop, then the area of the loop will increase. Because, area of circle is considered to be greatest.
Since, area of loop increases, ∴ the magnetic flux will also increase.
Now, the current will be induced in the loop such that the magnetic flux decreases. And, magnetic field will decrease when the area will decrease i.e. the wires should be pulled in the inwards directions, to decrease the net magnetic field.
∴ the current will be along “adcba”.
(b) In the figure given below, the direction of magnetic field is perpendicular coming out of the paper.
![](data:image/jpeg;base64,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)
Now, when circular loop is transformed into a narrow straight wire, then the area of the loop will decrease. Since, area of loop decreases, ∴ the magnetic flux will also decrease.
Now, the current will be induced in the loop such that the net magnetic flux increases in the wire. ∴ the current flow will be along “adcba” which produces the induced magnetic field outwards the paper.
Question 3.A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1 s, what is the induced emf in the loop while the current is changing?
Answer:Given:
No. of turns in the solenoid coil, N = 15 turns/cm = 15000 turns/m
(∵ 1m = 100 cm)
∴ no. of turns in the solenoid coil per unit length, n = 15000 turns
Area of the solenoid coil = 2.0 cm2
In m2, Area will be 2 × 10 - 4 m2
Since current carried by the solenoid coil changes from 2.0 to 4.0 A in 0.1 seconds
Therefore, change in the current in the coil of solenoid = final current – initial current
di = 4.0 – 2.0 = 2.0 A
The change in time “dt” is given as ,dt = 0.1 seconds
Applying Faraday’s law, induced e.m.f can be calculated as follows:
…(1)
Where Ф is flux induced in the loop
And, flux is given as, Ф = BA
Where “B” is the magnetic field and “A” is the area of the loop.
For a solenoid, B= μ0nI
Therefore, the equation (1) becomes:
![](data:image/png;base64,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)
Or ![](data:image/png;base64,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)
Or E = Aμ0 n (dI/dt)…(2)
∵ A, μo and n are constants
Substituting the values in equation (2), we get,
![](data:image/png;base64,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)
⇒ E = 7.54 × 10 - 6 V
Or E = 7.54 μV
(∵ 10-6 = μ)
Hence, the induced voltage in the loop is 7.54 μV
Question 4.A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s–1 in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case?
Answer:Given:
Length of rectangular wire = 8 cm
Breadth of rectangular wire = 2 cm
![](data:image/jpeg;base64,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The area of the rectangular wire can be calculated as follows:
A = l × b
A = 8 cm × 2 cm = 16 cm2
In m2, area will be A = 16 × 10 - 4 m2
Magnitude of magnetic field B = 0.3T
Velocity of the loop, v =1 cms - 1 = 0.01ms - 1
(a) The emf developed across the cut can be calculated as follows:
e = Blv …(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
substituting the values in equation (1), we get,
e = (0.3 T × 0.08m × 0.01ms - 1)
e = 2.4 × 10 - 4 V
Time taken for travelling along the width of the loop can be calculated as follows:
T =distance travelled/velocity with which distance is travelled
T = b(width of the loop)/v (velocity)
T = 0.02 m/0.01 ms - 1
T= 2 seconds
This means that the induced voltage will last for very short direction of 2 seconds.
(b) The emf developed across the cut if the velocity of the loop is 1 cms–1 in a direction normal to the shortest side of the loop can be calculated as follows:
e = Bbv…(2)
where B is the magnetic field
b is the width of the loop and,
v is the velocity of the rectangular loop
substituting the values in equation (2), we get,
e = (0.3 T × 0.02 m × 0.01 ms - 1)
e = 0.6 × 10 - 4 V
Time taken for travelling along the width of the loop can be calculated as follows:
T =distance travelled/velocity with which distance is travelled
T = l(length of the loop)/v
T = 0.08 m/0.01ms - 1
T = 8 seconds
This means that the induced voltage will last for 8 seconds.
Question 5.A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s–1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.
Answer:Given:
Length of the metallic rod = 1.0 m
Angular frequency = 400 rads - 1
Strength of magnetic field B= 0.5 T
Since it is clear that one end of the metallic rod has zero linear velocity whereas the other end of the rod has linear velocity of lω
∴ The average linear velocity of the metallic rod can be calculated as follows:
v = (lω + 0)/2
⇒ v = lω /2
The e.m.f. developed between the centre and the ring can be calculated as follows:
e = Blv ...(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
⇒ Substituting the value of v in above equation, we get
e = B × l × (lω/2)
e = (Bl2ω)/2
e = (0.5 T × 1m2 × 400 rads - 1)/2
On calculating, we get
e = 100 V
Hence, the emf developed across the ring is 100 V.
Question 6.A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s–1 in a uniform horizontal magnetic field of magnitude 3.0 × 10–2 T. Obtain the maximum and average emf induced in the coil. If the coil forms a closed loop of resistance 10 W, calculate the maximum value of current in the coil. Calculate the average power loss due to Joule heating.
Where does this power come from?
Answer:Given:
Radius of the circular coil r = 8.0 cm = 0.08 m
No. of turns in the coil, N =20
Angular frequency ω = 50 rad s - 1
Magnitude of magnetic field B =3.0 × 10–2 T
Resistance of the closed loop = 10 Ω
The area of the coil can be calculated using the formula
A =Ï€r2
A = 3.14 × (0.08 m)2
The maximum induced e.m.f is calculated as follows:
e = N ω A B
e = 20 × 50 rad s - 1 × 3.14 × (0.08 m)2 × 3.0 × 10–2 T
On calculating we get
e = 0.603 V
Since for a full cycle, the average induced emf will be zero.
The maximum current for the circular coil can be calculated as follows:
I = e/R
Substituting the values
I = 0.603 V/10 Ω
I = 0.0603A
The average power loss due to Joule’s heating effect in the circular coil will be given by:
P = (eI)/2
P = (0.603 V × 0.0603 A)/2
On calculating we get
P = 0.018 W
A torque was produced due to current induced in the coil. This torque opposes the rotation of the circular coil. Since a rotor is the external agent in the coil and it should apply the torque so that the coil keeps rotating in the uniform manner. Therefore, the dissipated power comes from the external rotor.
Question 7.A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s–1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 × 10–4 Wb m–2.
(a) What is the instantaneous value of the emf induced in the wire?
(b) What is the direction of the emf?
(c) Which end of the wire is at the higher electrical potential?
Answer:Given:
Length of the wire, l = 10 m
Speed of wire, v = 5.0 ms - 1
Magnetic field B = 0.30 × 10–4 Wb m–2
The diagram is:
![](data:image/png;base64,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)
(a) The e.m.f induced in the wire can be calculated as follows:
e = Blv ...(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
substituting the values in above equation, we get,
e = 0.30 × 10–4 Wb-m - 2 × 10 m × 5ms-1
e = 1.5 × 10–3 V
(b) The direction of the induced emf will be from west to east in accordance with the Fleming’s right - hand rule.
According to Fleming’s right - hand rule: When the right hand is held with the thumb, first finger and second finger mutually perpendicular to each other, as shown below.
Then, the thumb points in the direction in which the conductor moves; the first finger gives the direction of the magnetic field (N ⇒ S); and the second finger gives the direction of the induced current.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAADPCAIAAAC/aWlLAAAAAXNSR0IArs4c6QAAb7hJREFUeF7tnQdgJEeV/jU5zyhrpc05e50zDthgsAFjwMYB29g4YJsjHhxHzhzxgAPuDu74kzmSsQHjnNNGb86rnDWanPP/V13a8aziJGm162nWQprprq6urq/ee1+9oMpkMlWVozIClREodgTUxV5Yua4yApURECNQgVBlHlRGoKQRqECopOGrXFwZgQqEKnOgMgIljUAFQiUNX+XiyghUIHSyzYEKxTrDb1RVGfEZHvEZuJ18pyqVagbuVblFRQqdPHNAIsfj8ezYsSORSJw8Dza7n6QCodn9fgrpXTqd5vSDBw/+5S9/icVihVxaObf4EahAqPixm21XSil04MABIJRMJvm9oqXPwDuqQGgGBnmGbiGl0KFDh/bs2YM6N0N3fc3fpgKhk2QKIHC0Wi0mEFKIR9q4ceNJ8mCz/jEqEJr1ryi/DiKC1Gp1d3d3W1sbVzz//PMVUi6/kSv1rAqESh3BWXK9NHuOHDkCncAvzz777Czp2EnfjQqETqpXfPjw4Wg0qtFo2tvbkUgVRmEG3m4FQjMwyNN+C0QQsEGX27dvn7xZPB5/8cUXKxCa9qGvBDvMwBCXeAvgkUqlIKlzDz4ZRVjji+B0Onfu3ClvB5zQ5ThH0nSVY/pGoCKFpm9sy9AyGAAbSBjYttyDT3L9dyROhoaGdu/enf18y5Yt/F6cmw92FbfOHmV4kpO3iYqP3Ox9t5JkCwQCr7zyis/ny4KBz4HT6173OrvdLjEmz/zrX/969dVX63Q65BWft7S0bNq0ad68efLb2fucJ3jPKhCapS8QVQ1RgyR5//vfD0nAhk+u5qbX6//2t79dfPHFufD43Oc+95WvfIWrpJpnNpt//vOfX3vttSAKyOX/nJl0xuUPD/tCgVA0k05VWw3zm2pMJlP+LbymzqxAaDa+bgmMYDD4zne+k03SD3/4w8uXL89aNXIX9corr6ypqZGEAYIoHA6/4x3vePTRR7mQMyWQPv7xj3/zm98EfoimSZ4TtU06dcfiyQG33+WPBsJxdyACkKKxJA7foUi8zqK+8pwVTY11FYE2aiQrEJq9EGptbT377LM/85nPfOQjH5kMAAqEMITWrFnjdrslqPgJit7whjc89NBDUvGbqAXOBSTJVNrlC/W5gk5vpH3Ac7hnuG84GIolNGq1w6KPxtNbt265ZJnx8x++rXnuPD6cjaN2nPpUGYvjNPB53NbhcBgMBvQxMABJPYqUG8XIdXV1uVwuRIT8vKmpCSnU29vL7hD4mYiXE/JHVRWJJVr73Ae73a8c7v/Ts/t+98Tup17p2Nfp7Br0tfW5drUO7Tvc4T74wu7Nz+zffyARj+fR99fQKRUIzcaXDRIAQH19/Xve854nnniCPzF+RpFyWXZB/iKd4q644oqrrrqKX771rW+dddZZ+MtJl7lxISTkT1VVOJI42DV8pM/z5Cttv39qz9ZDvYFIHMJPp9Vo+alRwwamE+FEJGAyGmJH8VPxAc/OmwqEZiOE5ATl5xlnnPHYY49BEvzhD3/47W9/+zvl+M1vfvP73/9e+mJnpzKnNTY2/uQnP1m6dCmfn3vuuffff/+SJUteeOGF3NOyTyv1t1giub/L2THoe3Jb2+Nb21z+iEatQk3jW4XRlr9UpeKCV6hx2BCM6Ic0UhxXPhvHuuQ+VSBU8hBOQwPS2yAUCoEcv9//pS996dZbb7399ttvU473ve99d9xxh9xFlRAiwA7XuP/+7/+eO3cuDj58AgkOnf3rX/+aT2AakGBjtmLF1W19nvZB78Z9PRv39saTKbUa21hg5tgjkwh7M6l4bU01NPrkzMQ0DMZsb7JCJ8zeN8Sk37x5szRmsIVkR1n+0ev45NJLL83uCxEjhLQBYyhsH/rQh374wx9u3779lFNO4UwsKLk5O/Y53f7w09s7Wvs8j2xu9YWiE6RaAE9q575n/O1bb7vuLR+4794lS5dKDnD2DtzM9qwCoZkd7+m5GzIHFQtZBP3wT//0TxJCp5566uRz/YVdnfs6XU/taDvU5cL4mTC5eibd98o/UsOH7rntxrvufF9Ly9wKhHJfY0WRm55JXaZWZfw2xNpTTz1FOPfDDz+Mp4LU33IVM/CT/TNP+eD0hjCBuoa8XQM+9YQSRTHJcNCLBk0GrcNR0eLGea8VCJVpsk9DM3I/By8EeLbLLruMnVO2U/mFndZRqRGkWJDgQRBN3hcpbXa3DfhDsYPdw9FEUqWYQOMcgnJgozaZSiasZhNA1en0Upmchsc9UZusQGiWvjlAgiWD2Hn3u99dW1v7gx/84PHHH4eOu+mmm77//e9/4AMfyHUhzZ3T0ntgoiRYkojzh6ID7lC/K9jvCqhVE6twClyEo3gqZbWYHXYgNJmXwywdymnuVgVC0zzARTUvPXSgrT//+c+fd955jzzyCBbO5Zdffv3112Pn/M///M+vfvUr3OekRjfuHSQvN/aAb+PDfZ1D/nC8Y8gbjglFcYpDBEwkgZDVaq1AaOxYVSA01QQ6Tt8jWCAJSIRw3XXX4aCAHGAiyx3SG264gdmMdTQuhKREmghaqioVLfUMBwY9wb7hQF4Ph9tpOm0yGCxmE1EXeV3yWjqpAqHZ+7ZzVTUUMxl4J519pL/CuF03Go0TQUgxmara+z1ef3TQHcIWmtqqEZEUSXQ5rCCD0VjxMa1IodkLmNyeyRCgurq60047DSsIWQQwUKKADZP4C1/4wuDgIHqdYqqMtuwnQYVU+rqH/U5f2OkNI9empgWIe03EMpmkXq/T4vAz9QUnxgiXsZcVKVTGwSxbUxIGaGv//u//7vV6QQsbprhsf/KTn3zzm98MnfDlL395/fr1Be3PcDLOB3iUOt0hdyA67AvnCQcgpM6kgW/FEBr3BVcgVLZ5X8aGJDb4uXbtWmye1atX//SnP/3qV7/6jW98Y//+/dAJwGki/Eyka0nawekNugPhcCwRjuHukA+IsINw/KlCAFYMoQqEyjjJp7cpaQVJWbRy5UpifqAWBgYG8Jfr6OjAR25cFU72aUJbSMGQJxB1+iNYQQQI5aeVqVRag1qjQ48b10toegfiRGi9IoVm41uCzgYt9AxPU/LygB9IaovFwid8TlwdJ0webjDWIkKLw74iqC4cTRJdN6E7z5jx0JttaZVO6oGzcbCOd58qEDreb2C8++Mw+t73vpcZ/8///M+kGbnkkkvOP/98Noj4ecEFF1x00UVYR9LTZ6JYuqxbqmxeAgbhM+gKJJIpf1iUTskPEBmtwaTSW/z+YEzofpVj9AhUIDS75oSULcT8EKrA72ThIWsCYT98knssXrxY5gPJlTbyd2kLEeBw7Lei2WAk0ecOhaKJWJzcDKrxN2VzxwN7DNZOrTdXN3UPIvzclax0Y6dLxVN7dkFI9iY3QoEdobFa2bi5EGSaEdwXcGV48MEH3/a2t416tm2H+v787P6DPa62PrdWQ4h4Hs8OsaFWe7v2qwa3f+njd9Mm+7x5XPYaOqUihWbjywYh0nbH8mFHdWweRmyhiQTCRPtCyWSqe8CTzmRIbZWvEqeMDRAyOWo94STpGbDNFLUwH/DNxoGdjj5VIDQdo1pqmzLTCEmw3vSmN913333yT4QMB7+QOBvtjoBWbjMWSBPN70Qq3T0cwLsBv7j8uLiRpxAhtAZLRmfad7gNYqPUZzvprq9AaDa+Uil22FqVEeDyT5Q0Dn5hs4gPSZE1btcnop6j8eSQJ+wLxvhlCu/sseaQzmiyN7Z29g0NDiIVp3YLmo2DOl19qkBouka2lHaRP1Tt3rp1K1w2RjyZssmUwCfEou7du/c///M/+XDhwoXj3kLuC42VTsTYERrEvlDeO0JHmwfGWp2xurF/2N/X1yt9wCu6XHbwKxAqZaqX/1o5NUl8RWqEN77xjQCGfVUS/8Jr84k87r33XoK6JVuQv99n/7CPQIdYPCENnAK6jne3qkpvrQ4lVK1t7ZHI+GEUBTR4cp1agdDsep9SR8Kjh6A6olMhtTds2PCxj32M38lpyi933333L37xCzLQk3ukoK4PuINk2iZNj3KLgvgA9mQzelO12lSz80BbwO+tiKBjVN3KcBQ0EWf4ZFzj2AKSTtkYIcicrB0y1kdOktoAjG1Zks4RVpTb2x/9ZeOBbs/utkH2VUkWVyipxq2dR16pT/Z85/MfOff8C3CZK8jJdYbHbSZvV5FCMznahd2LOXrnnXeSlPRf/uVfyGhF7ANwestb3jJRdkWJLmkLjQ389oVQ4pLxJAEOBeNHaH5qld5WR5TEnn0HKm4KuS/ypIXQqBw3hU3eWXA2ModekLuH1PL/8R//gdqGLFq1ahUpF3H5+eMf/5hNn51nZ6nOEI2nCuYSjraOLmey18RVph17D/h8XhlAXjmEOXqyjoL0dFYyZ4iQ6RNLX5W9JS8cAUKkYiQJyZNPPvmnP/2JJAowDWQgwVLCcXtccnmiJ43E0olkmsEoaFMoOz3w9DEYbSpzXWtn/2B/L+GzFWpbDs5JCyG4V+qFsEnCkWtCnBBLhtwOwkebrD2gBUYO20MWd4DLJmqI33Hh4VnGkteYQ+NO7kQ6nUglSYNQ/Aio1UZrTe+QZ//BI6TFop0Ta2Eq/sEnvfIkhJDMsUZSdqwIAqdJP/2jH/0oWwr71WW1UIN6mt7AxM0iPzFpFixYIPMlyPqqPN2cOXPwMZWlhMYeSmycZtTkxgpC/iRTJelfiHKToy4QS+09cCgYCCiFVQohx2d8AGfmhichhOTCTDZqfLpWrFixbds2mUoKf+drrrmGkDU5srP89YMBHDobGhoo2YAUJcGilKh4JzzwwAMIqHXr1uU/RWQRLoGrUuZ8pspgrUmoTZ1dPS7XcEUEnZyKHO+VSYYVwUb+smXLKCLCLy+//DLs8Lve9S6ydjAvsS7QhQDYuIpQ7rykNeTAzHv4y/pCFDuBi6M6A+VWiQ5imxU3Bf68+eabqX1CZlOhiI8pOCdn9qgFAr8gRBCmkFw98sfesWdmtDq92mDv6R8aGBysQOikhRCzqrOzExcydvR5SOCEUybZ2Kg6+tJLLzEvobkw02VNq8nhwUTEtMjfA6DYqTnOdbKcCaVQCF74v//7PwoNIXagtsEPDgqoqWO1NdmK7LDUZnMP8s5TxRhGO8991bE6H/1Bvpur66nH2t7RVSl3d3JCSEICbQ1VB7SQ/iabY1qaFnzLEo6/mdyvlE6ZkgEfu6z29/eTgwo5Js8pI0ImbyrbGfqMp/bTTz+N8Pm3f/u3H//4x7Bz4AcFb6yokW3yvMBPhtzlHgYdTgZVUCtTPgfgAWkG1Zjcv+JKlbmmKRBTdXZ1BwL5ZXKcsVE7Tjc62WwhOdGxf7C/Ud4o94vCg8yBv8J3kxUapo51HWyQqDqLitx0H/JDuS2zadMmQq/5OcMQyvZHIhxSBCIbpe6ee+4h/GHyxPOy/2MBbzUKsQYlkVbCwMf8G/lQU6Wxqo01GotVJbZojzmEAMsYLY6ExtLV2+fxjM9nHKeZfNxue1JBiCkCSPi5a9cuqrth8FB0niixX/7yl7fccguSh2Fm7cTTjJzUnCb99oEW+y0///nPUfNkiGhWKNEOYg2baobfz/PPP8/mKYYcfjryJ8Uh5U8OktOzR1Ro6E69w5RKVjlU5mo1/4THW+6/GrW1Rm2p01gcGpOmSh1Nx/3p0XIMEcTIqLV6U23Lofa+3t6+mZTMM/wK8r/dSRX4zXTHDIAzoIIIXDA+ztKqRiKhjJF7gALA4IQMHtRUvOuuu/iKz6+99louITiHUFB8OsEbeaekvxlp4KlNQiXtbGap7BqPfOBaWsM4KdTjc5LXQ/v0mTQjUCDISe4Cec0no6KA6Bsdw9iTjywbZEXgtGeeeeatb33r1772NcK/c2/04HO7vv2HbSaVLp4YZ1cU0ZTif3gGQTocLRU5Du0AhDTasLsvcOSlz9577fXXXWu12fKfbSflmcdZCmXX+4J+mdzbACvo8OHD2N9SnvDa2Co555xzwA+/s8Az/2RyjyNHjlC0B68ZHJ/hjklxCAnx9re/XVafR3wRsXP66adnI3DEGqwckqajZhb7ntyu7Goe3aNNCt+TxPQf//gH3fvZz36GnER4cgByfEmJd+CcsdQ8vR2XaVi3uCmaiAfSEV86hIQZ9S+YjkQyiWgmAX5EsxPTdpmqtNFWHVVbduzePzw8fFKioqCHOs4Qyir9Bf0ykbeBBAx0HGIH+0EuzHI4stKDmiJsTaKbcUc0PYgHwm/guMivS4X673znO+Dq0UcfZRbu2bMHuQT3wOVysRfeyk4nTg9MU36nKfaa0BgLGvEpT6ar1Cf+9re/DdTZFMajh1vceOONiEQEJgfsIsivrq4eF0JjlStJgzTU2ObVUvU+o1NrlQigsf/yYLtlTh+t0Vo/d8ve1q7u7uwIT/lcJ+sJxxNCEK9Md2akzC3IIfIsTXWQkYPJjZwZ9UqkiOAny7bNZkO25M4wuVrzEy6b/dZFixaxgiKRoLY++9nPcjKhASAKmgGRJdMgwklA6CG++J2W8e9k7l544YXogUgqLBOyxa9Zs0Ym0ynXRq1cSugPBhsPQhJgKDgkKshBL5Xil3Fj4k5kh4z9XOpjVrPh3NUtuMkpZVVLYBeV0neWurmDAdWu3XslL1dSgyc4to4bhBR2SIPKxL4hEgO1BJWJJZ8pC4027oHDDrYK4uInP/mJND9GvTnp/8JXeCGMon3lmUgYvDPZJgInMr8uZ6IjfepTn8IWYr1HCnGa5A9AKVMWwPA7Ch5nAjmWf4QV3UZ2IcHwXhtbj770KcF90RURPuwLYXHBdiBXKXcHdPv6+rijRNq4N4KvG+vEDfLUas25axYkUNYwt0rpohBEKYOlWmVtfHLjzqHBAWm/ldLkCX3tcYOQnARAAguEtRanL2Yks5ZZznwd92DVByGf/vSnOZ/gGbkSZ1Ek3yLKD1UPaFNaPqN2RcEAn0jdDBTJzDj0Ab4OWOI4Q9J30sBjzUciEeYu8TnY9ExorPP29nacPr/+9a/jLvTss8/CLzOtgRBNld19gYfKllFghweTDDoRULE6TFlegRNYm0bFC8kJvrilflG9QaQfKS21L6uRWqMx1bXs6/Ls2LGLsXotC6LjBiG58PCymaOs6wcOHIC9JdWtzBwNHqS7pLRA5IFwgOolJBM9TWZa40PpgilrV0k4yWQ3o9ZF+RVJPJA2QIg/aY0D2KBMyjtya4CHGMQJCMDQJRDCog5fx87mrbfein+ABC33hVOW55dRi8suxjwaj4NrLKWEmpubwS2CGiFJNzCBZLmuSXQnnmVsoUiev7nBft6a+aFIrHR/Cywis70hprb849lNbpdL2dB+jR7HGUJy1OW8xNJgdUetuvrqq6Vvv9QQmEzyQEBB13IgB8AbVg3KGLONk4EN00L6H0g4jXqfElG0jKoGZy1h8L3vfQ+E4IFKTBuMHFbHt771LenTjYXGIVkv7kJnpEaHuxBNYUdBZ2OiSAiV/cAXDi4Oap5kcUhdwAzUibTjRjyszIY1ke7Eo437+Kww1Pg6a/V8Q1WcsKESFS+WK41eZ6idRyT5zl07k4n4a1aXK82yLOvckSurtM5xJgAk7CHKNV4CCVOeqYOvgPRegRbDLuLAtkE+kF0NvSvbo+w0Gms2SGTKnzh046wAeGiTP/mJMskO0ne/+10MejQocIJqhzcQVDIuAmCJSYzg4r6of1xbXikke4XNwwjwRISsIn9YF2DYpdSVKw6/X3XVVZL7zh5yXwja44orrsDCxCcj91sqphK83Tvg/Mj3H9zbF7WY9OkSOAVaFqUiknHn4S1vP3fhZz96T13DHLr2GgTSLIKQfN+yWDwHkxW0/Nd//Rfcl/yKWYt7GJ/jJwophxwgiwAiQq7NGN/z589n2qGnIVjA1ViASwElzQletpxz/I7phWDhpuhmkGx8goBiErMJwzTFDmEeo0QBIVoA5NhU6JwgHKJZflKuxURC6Mwzz4QPlGrqRC3D11HxLndrVZ6JnERqwaaQ/WfUtYQ7aFRVX/t/D//8sT0OR3VpCBJt8+Cu3tbGVO8XP/SeSy+95LVZw2vWQUiusjKRtJwQoIUJ/ec//xmzFWUP6SRnBliCUcUmQZKgAT733HNSB+NCjBlsBgQIgostfBycx85yaTvxUxJc2dkmJzG2BO3TjpglLheA4QREE1iC1cDpG8UPooz2ywsh2Q1oNwww6X8EkMYu7XwCNS+LO+R/EAGPIHtm895P/++TkTQBSMXkIcm9nQB5Ijp4cOOtb1z/0Xtvr60Tzq+vtWM2Qki+Azm/s44t6CfQYjgEfPSjH8XhUqbGHfW2QBRwQjQhJYiuwfkNJEi3f4iB17/+9SCBLRcYBY7cawEqf8r5OqpZuczTIA5BBBrxLWRGT08PVAQEHftLY+XAcZ9DdGms+iqHlIeMRSN3fPOB3Z0+g05doi7HwiMC1HsOz1cPfOmjt7OglE5UHPfRK7QDsxdCWSDJyS3/hGhGr8MIQamTedVyvx318DKnLtogig2THgDIrXRIAjQ9QAUM4LtwVsh98Qif7NqftT2kXMJkYnaSJ5EqwvAQlA2WrjRlNwAmYduyz1jcTYUup1Z9+WeP/unFVoNOWyKEQCVrTioWGjrw8gfeee5dt72nprau0Cl4op8/2yGUHd9cocSW6ESenZLck4Rb7iTD2mHPB00POKEZ8ous84E6hL7Hri6/gCgsqNyNF+m4LZsaNWWl/jYd+JnWKSV1uQef3fHNP2xFJJHctLTbicgitUbt7DywzOz5yifuPvOMs0rcdCqtP8fh6hMGQnJspHmdp7YgqXAJp1xPZ5gDor5h1SQnge4nU3kgkeC7ETIYPJhP/ISlyL4T2Zq8u+TEjsPrKvmWiipXNeB03fbth3whAk+T4u8SDjEUWm0i5HW1bvnETa+/5cbr7I7qEto78S49wSAkB7jQtV/KJYkBmcQj+6JgscEPzqOEBkFIYPNI77uamhqCXmHJ2WlFxcdfYVR1t0L7MHumhpKDJHPr1/58oMdDWp8SISRfCKLa1bV3TXX43z71gTVr1yO1Z8/zTndPThgIyVBMORxjzQAZqTnRYI0i3HKVvVECDYNHxjhIio+kH1nKjgRukHsQErh1Swe8E/SQ4P/qz594aGsHthCOpyXOdxpEp40G3KHuHZ+85Q3vvu5dNqUyUnHW2gk3qrMdQtKwHvUy+JCUTiBKZFYTfsOThLeMvBH0OdHOGAhKOMlbjPvK2Z9B2eNA60MDRGTBJeBjeuJOEdnzB5/d+b0HtgOhYFj4W5Q4cZWxU7k696yvT37j0/ctW7ESi6vENk+Uy2cvhHLnKKIgEkuQTxDrFxcG0kN7AmFcecwGLcY+u/ZWowGjlkHnB+8SwGjVfCNmhkGrtlmM2Ly5r0QgSgotJaVNdg5lqbBxZxWOsCAKpQ6r6UR5wWP7Kc2hI12Dd3/vETJjBSJRhqr0x8FnMRzwJgb3fvTdF914/bVsUp+4q0xBozF7IcRjABmPPxKOp8APsAlHY6FYMhTlH38m8C0V2zgY91WCqAUwaPZmvRofsnQqrdWoDHoNCXDZP7RbDA12i8WsNxt1ZoPOYjTgiDpqmMYVd4ryOGJHAaoTlEIYd0JEorF3f+mPLn9cFO0qWQpJCc9a5uw+uL4u+fVP3L5y1Tq541DQdDwRT56lECKmbMAd8gWjnmDY6YkM+yPU9vCFonwy7A8rdT5gYzOYrYJvBj+CelZRCN5k0Bn1SCCVTqsx4X2qETKKv6st+lqb0WwSEDLoxDkCYzqVXqupt5saa+2kBJjy/WUJidI1nynvNd0nwG5/7Ad/23rEhcuTMIfKMdUZbfZtI317737rGXffer3JYitLs9M9FCW2P7sgJHUMZE57v8fpi7T2uQ92uToHfdQJjYi00KIwAZuDYwSIIi2gm6VBc1Q3O4orlVGvs5uNNTaTzaw3GbTARqdRI6NMBg1QAmx6jararFnSXL2wuc6M18x4b/4oY3ESwGdk/H78pxf++GIr60IgEi8Xh6bXaV1DfQt0ri/edx3xk3luP5Q4iY/v5bMLQowFINndPtgx4NtyoHfT/l5vMCoxowBDgYcSwa2MmsgMeOzwCQsni7BX86kpJ3LqCMbUVUDIpNdbzXq72YB2h7yymnToew6zrt5maHCYm2qt9TU2A2EUyDH1aBVOsaSOpuk4YVfaJ7Yc+MpvN+F46glERIrGcsxEoVGz79S+/7pzWz56902Nc5rLId7K0bNpa2MWQUgu8we7h3ccGSQK5ZkdHeFYoizEDvDRqbRJnFerUiJTpwI/SYMrsqsKfzuH1VBvNyOpamxGh8VgRNtTV2FZOSy6GquR3B0Oiwm/PINOgxKY68EgAC44rrKlT5i2d/1qwyOMQs/QXd/5B/32lg9CwiKC4A4HUs7Dn73t8rdddYXRWJgv7Aw8fnlvMYsgxIMFwtG/PL+/2xl8YVfXgCfIklb60wITXZWWDJ2BTAQUKdJonENx22Z/Q2026h0WvcVgMBm1DosR0URoDVKLtDc2owak1VhNNXazYnRpQJfNKsJs5UEjioyc7YJpxEfBHfjg9x/yhOLuQAQisyxSiKfnpbFN5B7sW1Ud/uqHbli9Zu3Jrc7NFghJArTfFfjGb593B2OYQNi7peNHtmBWi9q64Ux8IvyIaa/8JzQ0Qi1kGRFVFTIHqGA+ASL0PYfVWG01QUjotCq9WmU2amqtxjqHucZqaKyxzKmDkxgh+qSIm7VIkk/n9oc//7+Pd7oiA64AjlDlGm3aUXSHtLuv7bpzmj9214019Q1lWAvL2L+yNjXLIDTs/9AP/uEOJRBHY2mDIh4cRGirNBa1IZyOJary2oYfyZYls04LtyCEk+QqqsxanUarFvVBtDrsKFQ+TCk4CbtJV2s1Ia+qLbqWWsv8OTWKaDpm2oy124p4nHJdIiHE3to3f/tc+2CoY8CToIBkuVpX2kE3hp1Ledo+ef0F17z1zQajadYuKCU+t4YEFyU2Ua7LkUJM2Ge3H2kbDKA4pTKiNnXpjWMF6dU6RQQVcGTXZLhy1lT+sQFFqdFgIh6MxdnR9wQjQ55Q/7C/3xN2B6LuUBwKccgb6XNHDvd6W7sHPT4/ADQisKSv99GbZ32Rjq+6J5nPVw71hWPJIW+olMRy4w4rC4/RoA9Gkl0d7aetmFPf0HiyqnOzBUJyPhn0uv6BoSc2H7SYjUpBtoKm/fgI0au0kE2RqkSJgKxWW1JV6WgVDIfYg1J8IETpOCYijFa/O9A3HKCmvCcYdfsjCqLiR/p9+zoGewddoUhUqxbkBdexTyWpdynljpvppKpib21X25A7GO13BQtYXQo51WA29w4OxwPOs9YtM5mtJ6Ugmi0Q4r2gMjGxjJqqp1/czBaqwWgW1ZRLBZGokyMCY6qSRUOIqW/B1UGl9WFP5TDp0jNoZCuKrA+pTDAaZwurzxVgX3jYF8FM94YSnkiy2xne1+ns7Bt2sSscE0mGMLsM+pGMihJLWbk33dJJqJTKWBzpdrUP+Nr7vU5vGG/DQqCR57kZ1Lkqnamjs6vFrlm+bBH71ycfimYRhBhc5hGOAm7nwDMvbtQbjTqDVbxtxTu/OInEdQaVFo/URNWEXNzk00FaU3aNKZiJxjOpSTAteW1lj1LFAo84GvSE4BWdAk5hXyTuC6cGvNHDve72PvegO+Dyh4KhCJlBrUa9ItdeReNIRryjPSsjqKQVxDHgDjy+qWPbnv7BQBBBOk1xcjyI2WT0RtJ93R3rlzTOaZpTxmfJE8fTfdosgpAECZmaVi1uObBn57Ytm9nq1prsar0h//KGo8ZL2RHSgB9QVPQya1JDv2kC6Wj+MlEqbEpJuQy7W4gjpycEooY8QU8g5osk3cFE51Cge9DbOxzodfo9/kAkEo1TMCKVwi8W4yuLqPLOOfCDo0fvsK9zyL/zwMCe1mF/Mlrc8pTn1AS0FqutY8CbDAydsnLhyVdMZbYwctn3Idnt1rbWT37uaw89+SLpz20tK6x183XWWjKD8LJFwU+h9Rx1tJ70TcqCh2hx8Gp5vvKxIKzRmIPpWCyD9lXMISm+EXdVsXGkYvfJqNOw3QRFXu8w4xiB/x6uenwinI/wOdKo9doM+05mvdZuMbINZTOb8Pab5PaSRhdHTi9HdRgFErMHh0NY7K2H+rftHPCHY7602BQq5sHyvUaoc4l4LDLU9q83nveut73ZaEJFP3mOWQchMRMUFJGS9//94je//fODTk8gnVEbauY6WpZa6ubprbVwbHITR7EgZEWcrNJzzCRivlKUKibslGIgpFhB0LG64XSgaFNqdNco0COJBHQqXGPVuMYKnIAiXPiMIjMR+GE/Sms2aiH0MJkongoOzXoVjkh8yIZvnd1iA3l4Hyn+tZOQXahSeMHh2+7yhlyB6KadfbsPDQUyUaSfIW4IQssVuzTkDwIAqtNrfa7hJtXwNz9y7WmnnX4y+bzPRgiNrKeZDOVSSI371NPPvrxtR3tnz7DbG0tmTA2Lq5sWWern6qh3qDOp8LAW9pKclGLCjExPxS2OAyYgVpWKZ4pk5Oo0VghxtpVKh9C4c05y3K/KEIWi0OEkQVCGSW8xEpqhRxzhH8EvNrahhHsRu1NqrSZj1qntZjzQTbUOi91iVkp9q/Ua4e0mrKmMiu1pbyDsCkQCkSRExsuv9LyyZyCpTfmTEX2VzqIxeFLB3OfidzGQSrni/BGSz5nC0USl9g50XrrS/LkP3DSnZZ4kY/K5dpafM0shlB01UlKRbHFoaPDI4SNbXtmxa9+Bw60d/f0D0YweHc/saDBYqw22Oo3erNYZ1FqDWmekGKgCKhZfWOg0MgTHOARREdMCKgLPIFdqujjfyRQz4W90VNCKXFPC3xxEiZAnvc5o1PLTajLYLAYrtAtiS6Ui/lCP5aeqwtNPp9VFk2kS9MQSqWFvuG3A09Hr8w8lgppoNBVXV6l5NJNK70mHssPC3YxVegYRq08CKbd7RYzeqKdDZqLORYc77nvLKbde//aThuOe7RCSr4H8b2CJrAbOoUHqp2zbsWfP/gMHDx8Zcg4HQpEUk8do1hlMOoNZZ7IazDWG6gadya4zOzRGK95tLPNKBjllYuRN7iHOqOzLcg4XV/aFMB9nhaNr9MhS/aqrhKK/wlUo8RrC+WhETOEcm9FGQummOUaTRUt4lcsfJmYRbjAYTRgyumqd0ZkKCt+bqioLoYlVWm8OhISRptKYgWGVFn/cXP0Y30JE8ShQFTwmqirUVMqw1WUGv3j3Va+74ELUuZNADp0AEMrGDwv9JJUigVs4FCKVNhBq7+js6esXpRudwy43tFbQFwiGwvEEFjsqj8FssDdY6ucbHE0Ga63GYIQnU/Q9aURN4RXG13VqtLhYZFLnuoJnErMf44WExsL9orAj63zEZdTlliyjSrHytPh2qtXJTDqeTlSR306VwWeHyBGUJcVgUtnVJlVGhdiRHqVWtYFLKbEqxQuf6Ku04MqfjuqFJHvVnYKvkeaxTKJ0LzoeGyXU2d91wSLt5+69ftESynUWNgKz8OwTAEJy1HI38qX5ILHk9/uCwZA/EBCFJr0+Kk66XG4A1t7V098/2M+mTDzNjp4Gs6J6jqmmyWhvNNhrtew4iWwKyguUpr0CrVwZxdzCEAqkIngklK7GjDyF2KfSoEExU0tc1K1odiqNYFWU3V4xyymNp0gPuU0LSqWxIbwiqjRIVEoUJzIi96KEEA9F9eLsowEtzkHahDKxsRxduUYAMw83Xlfv4XvevObOm95uc9TMQlQU1KUTBkJTPhWqmswlz89IJOz1+ki409fXj8a3Z//Bzt5+l8cfxTOAEiwao6lmrrm20eRoNNrrtUYbnIRKrZPbuNhQ2FFimVepqzUWXyqibMuW52BqIg2gyJOs7CUfsldZ4TAJDYB3EkSgVwBm5JKxEOIL+kZrvnQYaJYucyZ6PkjHUMBnCHR+8a4r3/D6S3Q5+S5LHpLj0MDJA6GxgyfhFAoGXW43tRJIq33w0JHWzu7e/sGhYTdaXzgSSWtNyCVzNdKpHnJCZ6lRw0xodemqtCmtQbdh26Rc7BTQtKuMuL160tRHmr4pesxIgCuH2gx/gNmT/WJcKcSZZrXBVKVzpY+h6co+K2VA0WBP67lzM1/48HtJw3xCU3MnJ4Sy5tOI+pTJULtBIsrtdg07h3v7eg8daUfZ6+ntGxgUlhSASlTpTdXAqdFa12Koaa51zGcDKpgMC6FUCA8xyZxDM8SyCk0bRT7q1ghTs0qHwPGkwsi9HPJtHEUOCMF02zRGXyqMWlh25OQ0mNFqtIloyN2x45M3XXTDde+w20Tx6RP0ODkh9OpyO8YVGqpbFp1H3fMKw8mFstfe1d3d09/b39fa1tHb1+8NxjMYTA3zLfUL9MDJVqcilk5wEMVPLBZ+i0pQxt5UpEQrKM+pxl00Kk2tysJGKrjNNW/GlUJKsyqH2ojiiqo53S4LMKXewfbFRv+3P3n7mnWnnLihECc5hEZhScyRHA5Ipq1n+ygWi1Itwu/z9fUPtHd0tba37967f++BQ7hdq/RWk6PB3rLCgpMRleLZyZXbuIVoYpzNjKxVW8KZRChTgK9dnmiZ4LSMXS2C0n05zPWIWB6PTlDMqgwsBWMEzTDNEBLZ/dOpZHCw7YYLF374jusdNSdqVZXXCoRyJ1k2sGCUCi59BGD5fH42c50w5vv273/hpU17D7d7A9GMWmuqm++Yu8pS28ymU5WI8Va4hzy89ZiamEAOlcmficSFQ0256IkJISb2SVU6m9rkRqKMQftYUvsotDI2lRH3qhmAEHdkQzgSi2tDA/987RnXXPVGHf7EJyDJ/VqEUJ5LO4ZTIOAfGBikMuTmLds2bt3e1tXn9vqSGrN9zlL7nCXmmmat2caGpOJVJHW88bHB12xZGlV670wRCYAEeg1iLdf/YHI6gW/pp+TKlX5O+8F+FYllvf7wHF3ws7e87vxzz1JpyZt0gh0VCE3xwhBZEktDg0MHDh58ceOWHXsPtLd3Ot1elbmhumWJY84SQ3WLRg8dLF3Ix0UROpUZyTD9btGvPg6bPLiQjrvJQy+NKq1ZbfSkArkdVqBuwGYDQsn8Uk2UON9xXCLBi8sbXFGT+Px7L1u/bp3YCS6x0Zm9vAKhycY7l9mTTkaUc+3r7dm5e+/WHbuwlw4eOuwOpa0N82vnrbQ2L9cYbOPaSMwJvUqH2RUv3xbT5POEO8JlY3rFJnCt0FRpCOKA6cahIbcpGAiHioRhsaIdcwudwHj5mA0Gp9u3YU7mi3e8aekyXBZOJFFUgdDUb/wYx4gMDntJCkj6fd72jo5de/Zv37ET0dTWN2yomVe/5HRr4yKVFt+Z0ds+0+H+PEnXMbeAEP47CJNxT+MExFRU0BvHkG/0s0ZtgcGLZBLTzShkO0bQBk60TrfngkWGz99x5dz5C2ZvArExo1mBkBgSGQ/HL5NTq8diSbiCx+MxKuQdOnRk05atf/7bwwc7Bhzz1tQtOc3gaMS3XwYxHK+D7VQ2iCe6O1AxVen1avaOw7n0BrqcQ20CPGJPeQYPHH/0ep172PWGVbZP3fGW+qbmfDxxZ7CDE95qVgV+z9yAyLLyf/nLXz71qU+97nWvo/hxNovIZEu7cpKEnEiToFaTGdjhqF60aNG6NavPP/tMk67q4O5tA52HOMdkqc5mZpy5B8u50+Sx7sAGASVd5kYdAB83BcJDQOBRJ9TyRxCNuim7C2hvJovlQI/X7+o/bcVco1Ew8rOfonuNQkhigBrgX/nKV+bNm7dhwwaK2AWDwdra2nx41VHn8CeVWFtams847dTT1q1yDfYe3rXZM9xvNFt1RjKozJBmL0kCaC58C0S4YR7AHSsllai7KtJFgC7ZDtIMr/AZ2A4m+Sa9Z9D2dLgiPueGZS1KFqfZXnDytQUhEYUnAodGkldBD/zqV7/at2/fQw899K//+q8UgXzrW99KEMso/6A8pqI4RUTIWiwLFi583Xln19ZYu1v3t+3fTt4SvdUhihflNaXzvNWE2hnSQ6vSEphQ4tYTe0o4BCWVjK5w3DZcFvCvLiGFS54PRnQGwYM6o2lnm7Mq6l27tEVP3H2eFx+n015DEAI/IjBaSTcFHwBU/uVf/mXLli1er5dSxJ/73OduuOGG+vp6eULRr4N6iTab/bQN608/ZR3ecLu2vRyJRIy2Wo3eOK2JcoR6SYqCKg3mDVx2KYaEMJNUetx8JBWBFGJfOJF5Va8renDyuZDslnqdWqUz7WwdMKUCq5a0sOWaz4XH65yTEEITyRCA8eSTTz7xxBMIH6wXRpyQ8tWrV2/atAn8vPe976WOdxk8tTIEaZNrSDtv3tyzzzxjQUv99m1bvcGIyUYGIrKmTO+BgUbwNnx01owp4n5CIawif2WVjMhAiyMNJU4VihQqfnHJvydU3TPq1cSkvHK4r1oTWbFo7tjCnvm3Nt1nnlSMnCQJOCTDJvGAUymfEDQOc/CLX/wCRY75jfz59Kc/zbeICMyY66+/Ho2OM41GZEV5DkHfIe5isaeefe5fv/PLoH6Ofc5ilYhCn8ZDoaStKHIE2xY93UXUg8pA8jCc64ANceDk9Q+mo7m+3tP4DEebJkNlOJHUJfwfv2bDVZddqKVHM3DXwm8xQ5Zu4R0r+AqwkdXBJF0GomjlZz/72TnnnPOWt7xl8+bN3/72t//0pz9BwX35y19+8cUXxRKr0Zx33nkbN26kmjf4kdVUC773eBdI8k5vMFxx+es/de+NyZAnEfKSeH+ixstiryM6wA/ORGhfRT8F2IOOI61BKY0UfffshaFYgjR6MbXtew/sevL5Tcl4rKwFXErv4EgLJ7wiJyUPPwEDqef+53/+5wc/+AHRdWhldXXC+Zd48G984xt8++c///mKK65Yvnz5kiVLfvrTn86ZM+fSSy9FIuG/89vf/vaNb3zj0qVLEUoGg6E4OmHcdyJsEpV64bxm5/DwlkMDZqtDyZswchAra1Ebsd3xXWArhiVfqcJX/GrLtWQOIY8R9lwp/qw4K8FMgGosIhztyIJEMuRSlMPiJizpH8iW509oth/sWlyjXjCXfMKzLmNJ8WtVcYNSxqskvSalDT+ffvrpiy+++H//938BwCc+8QkgsWvXLm532mmngY01a9bMnz9fShgMIVCEUQSRwJ9XX301utyjjz4KzKxWa1dXl1QFy9JV0EBLNHvHu9986TmnOOy2bPZqKXaYl8BGWvAOjcXOdFWwVPTdudafiiCISAVedCPcHu8EoEgLAtXHaebyFsKxeLVV70mavvWnVzZu3cloFT80RQ/HpBeeSBDKTuusqSMlDy/40KFDN9988yWXXIJ69oc//OGpp55CnmD8cKbD4Xj9618PwHp7e0EaXFxjYyPGz/bt26ETGBz2VS+88ELk0sc//vF77rkHXps4vHKiSBEqNqv9irNXLZnjkLlO+ASoJDJpkrYF0mESg+DZGU3H9Wpc1yg2XzyTq+yZpvB8M6kJXy9yvtFIRITWCi6O3aFURkTvTTejOO5EZdEjCTiZk4cTpu8+uPPpl7dVJePTg4UiW53tEBIxcUe9b7Jcs+QMHnvssdNPP/3GG2+Uv7Mx+h//8R9SeUPsNDc3s9tz4MABVLWrrroqHA6/8MILfEVjAA95BXmAXSQhhGm0du1aLKW//vWvNMj2Thl1uUQy1e/y7+lwv/jKkGcwTuAd1rmc2oAL/S27d4m7GhHaGO7kSSTzSdE5QAAAjZhUZP3SFm1iIa+T6aRVZeAFpChpISoyH58DDZLiE6SXDKYMP32i9VcPveT3ebJdKXKRKN+jzHYISYaAAyYanPDz5ZdfRg37t3/7t/vuu+/gwYPr168HPEAFSCBYPvOZz5x99tmnnnoqrjdwboggxurMM89ctmzZAw88wDl6vai7ii7X0tKCvEIocQKXADC2Vo8cOQJZB6+Q/9bQKI2PxtkfJLKcTKJUYmztGd7TPrSva3hfl3Mg4u8LeZnc8F0E8+S+RDkPlAxvGfgAgnzi6WSNxoo+prgLFDxPyMRPhgabknik2NmSCVXFSM4IDmEX4LVLMdKK7YOSLg9lMp0hg34qSQyG+rHdw9/748ubdx5gWZTLkMxfdryOsin9eT5Alu+aaAeGKci0RnRwAr+DjZqaGix+KLW9e/f++te/BjPMeNKJfPjDH/76178uaejvf//72D/IE4QPVhDKGLRb9hYgBzXvwQcf7O7uRkzxJ+2///3vf+aZZ1555RUMoeJkjsJajzx3jKoJyXQ0nvIGwwGyh8bisUQ6kaqKxBM9Q77dbYOHejwhChQp6Rf0VZpajZU8wwpNPP7BlEAWkRCcOUTyA1yq5XQp6MAXG68CLi/O55qu2nB3qBIRePUaa3nzgeX5IKTvimRiUZk7P1NlNGjqbJYaqmAY1MuaLBdvWLhy0Ry0Br5EWirFnWb6mDkIMcWYQAgH+YiSA5j8cVlmIAOwxU0mE6kNULHe9KY3rVy5EsXspZdeIt9idXU1cgnBAjdw5ZVXvu997/vP//zPbJvcDgsHswdowdTdeeedP/7xj7F25K0xeOgMX+Wen6fwEUveUfz4Q9FAOI7A8YaivlAiGIkHwjFvUCTjpfoq9RSoHkkNLGH6HM0bircPehopPkZlBRk1GnJhRRBRsVyxmiKYJfmDAUMIJk3Gfktvt0InFy3AFhI04UoFEJv0gdzIBbdS6F2PPR+38ViGjC2vbnMRkUcy8QaH2WYh5jW9fkH1OavnrVncbDAR1CgU9RkG0kyQ2tKYwQLhIHcvRjxEM7NfzMOjhySm+YmgYKKjaEkdDJ4A++SMM874/e9/D35gohEghw8fRoCADf6UF6KVsbcDq8YW0OLFi7mwtbX1ox/9KF6k6HvgBBACSDS6VatWSZwgfOCvc99X/vjhetoAPAOeQM9Q4HCP50C3a3e7c8uBvs0HerYd6t/VOnigy9Xj9FFPASVEYeFG5h7/J8PECbGGd55ESZPXxKsSSBIRZMpuj0qk/M0z9EghuNO4zBlUepRDxQGosPkvW0AYKitGFSnvEYb5Y7g07Iir6QB0PzT9qAxe0bgoVAFZRy2zoUDqYJez3+XTZJKNNWbhjnjUlb70DuTTwrRLIakj8fOHP/zhI488wuyXIuhLX/oSUiW3izDUYAwy7bLLLkOYoGjxLX9efvnlUNW33XYbJBvSg3lPO+h1n//85z/72c9yjrwQzLzhDW8gegfBxWlYNQD1Rz/60U033SRFnzxN3lEiV1pZ+QzTqHOo+E1yH28o1jccPNA9jJ7WPeTH5KU+pJjfSoVv6WmnyKtxFHU+h1dgZkwZCq5ATsx9BAKbSJDg3pRwGshHqkjQ1KhEoWUKxeZzyagnhdGGUcAQwrJCIGCkFc3yFTTOIqmdAD9VntUsNDDsY9+Tsi6rqynN5LCYDZomu2F5s/3Mlc3rls2dAV+q7ONML4TkrMWVE7sFGgACDSmBGCGyYMGCBf/v//0/mIAvfvGL0vSXGi25PtjxPOuss37zm9+AFjhrIAE2fv7znyM35BYqOhjnME+xZKQ2KPEwODhIaxBxeIu+/e1vf8973iMlUvaQzj6l1IeimmOfO4ieNugOUYF4Z+tgez9GjjBUZCXvo/caDzc5PVGmiI50Of6MyHOdz+Rm7iIBRGpSlcovUivmX/pSVa+xIEAg0PO50ai5jjFWrSEfdwQshTLxGSjpJRZZJREK+GH5ZXzGhVB2NcRwrraYKAlTY9U32E3NtcYzlzWtXdbChJGCV6a0KGaxzAP30wghiZ/Ozk4UMAQIZglIyHZJ2jAoV+xsbtu2jW1Q4nYk2YB0QiUjBgFuAN82HECRRbBtoE4mUuRCZBQNovWhwsk2s8ZVrpUlJ7Iw4pWWQa88mfuCN5wSuC8URdZCyx2xkbpZR2EBNz3oDg56Q4Bnb6dzx+H+zkF/OBoHNUL5ViROlhbKR2eSIdbMFQRRnm9XNkvJIyRSOC3yx+dzocJMaJiRyCLS4RfqZEAPEZiyZDr/cjPZ5zHBijyFm7K+iDuqqiaHkHi/yjsmetxuNWIjVVuNdpO+3qo5a0XTmiVz66qtUruDb1A08HzGrIBuF814Tn0POXH/7//+D+UN+jgXP1wMDMAY6wQAQ+MCDHwIrpAqb37zm/EbeO655/gE0fTud78buhlEyVtKsYNjG42zESQRIj/P/pIFFbcActJ1moNmgeJ3v/vdc889F2ac7SB8EeQGa1ZqyOIpfCLmizLelBF2+8OHulwHu90b9/X+7qndDzx/YF/nMIqbpNwVK/ZV/HCJVsSoTXFIDwCcOPPf/5EvH4FAtDYcA2E8+fDdwqDKpEjkLWs3kItrZNpN1cPs90gw+skUJJgi74tKOpGxF7u62GLiGNGIJ2pRAgObk9d0uMe1v3O4tc97ZDD8wOaen/5t6yMv7W3vGSDbptwekfuMJXXu2IunC0LMbzllgRAcNP410vzIvbv8E/YZnCAQmO7gik+IIYXI5kK5aYPwsdlseLhlA364EHsJCo6vchuUC4yELtfyJ31AwgASwhy+9rWvcQnK5Mc+9jEahARnpwigovUpgJH+3SPIoRXYAkrbdw/5WnvdezqGdrYN/vXlg398Zu/eDmc0kTxWbXu1F8oTquwaI3r85PObCc3URCag0Y2b92ei18yFmAfwbMiiUftLk8wMOuOm5momAfDIji/3W/I5uB3Km0JzQXYRwToTKGJZobIGXhGUdZkkA8So/os9tEwVukFbv4fX1NHvaXNGHtk58KvHdj/w3O5X9rXB6x4F0rgmaj7jMfqc6VLk5HTv7++/6KKLgBChBFJK5IpRqVyhqkFSE4ONbyjGD1MfLF133XVMbunDxglIKkwpip3A4x0VESosIumLkD2yX8lP2DuSAUJEBEGC8wnM3jvf+U7sMag5SWePuoRP/KGILxgLx5NwBp5A1B2MUmixa9C7v2u4zxUQIf5q8Z4mn6z4H+DzxiyffLnjW2CAYuZm86bA18f5eFyiYkXTSZKk5kmUoSAhIWG6QRR6oPA8yIMol7ocmzOGKo3IuJ2J5S85C3wscTq3YwHCy4kbUTXMS4m9wjeX5ZulhCa1aOurrXaTzmZUL2i0L2l2rF1Q39LcUCg/OdGDTC+EmOWIC8yV+++/nz3QURCiTwAGKYFLwVe/+tXnn38eXzXZ0Xe84x3kBvnHP/6BUsef/I7Gde+992aNFtkUSprkBnKRyVeYUkgtUAcvB5Dwzr7jjjvQJIlOJTuCvIVUGgkylfujaGtOT8gfiUeiCU8w0ucK9bsClMXudfpd/gj8KeCRBF4+WgAtsicYFeWujskHP+5rkLX0qI1VqMXLxEK/wtbHLqKFUY1L1++xd+QqvmKNR55Q9AGqbcoyflkIMb3x4HanXq2zUgRC8riELEIWTCC6CpZQQYswX+QlIjtmhszDaio9Q9w5LIZqk66pxjS31nzq0sZlC5q0ulJDYqcLQnKK41UANwAZAAUn7f7sdqrU6yStjHMNUMGr4I9//COGPjs5zH7MfSKx/+u//mvsJqy8FmGVSwOARgQX3MDDDz+McQVCoOMg5SC1ISok3cfBVVwrI8DFEKczoWhswBX0h+MUJ+0ZDnT0ezuHvL3OAKGmhE8qNqgoTJ8neORdpDUsqLOcMnLjTh1FEImYtuLmpZJ/FHWO3U+xf5p7C9rEsQCraYL7AiSKRWqp+42lBEkwyXYTd5HMB5XPa9Rm33RmBlcC/vTQ9+znsgyhsiKLioBQ9qmlIcV7RGhTmrbGZq6rNjtMBhzAG+36DYvr1ixpsdusI9Qulx2rK00J+OmCEDeWEoZAUSg1GGqwJDMWKBNXWEr8yYxHi8N1+u677/7JT36CbQOEmO6IETZhcUTgK/kMUi5L5NBIFoogDU852uEWXIuRQyMA8pZbbsEVKPf5pd4oQcsvuOT4QzFINm8wNuwPYYAe6HJ2DvpQ3gjfVyzUETpBFGMsUM1ituGbQzgQPPKU7wCzxKExoa4Ut+XCnMMiAi1s2uTei+4joEihinvORPKNEdFxd+Gwp4Jen2jfVkxrNckfDGQ/hVUnsJxpnafqOOXj557AMOur1BSkwA0C8FCOyZMKlTE1sbJqQ+BoHBZjXbWpzmayUaLNqFq7oHrd0uaGGrvVAg+uZF3Jm76bRgjJKUt5OWINmPGYJXPnzs2OF9/idIMDwd///neCFDB7/vu//5uQBLiED37wg7lnSsiBHEkPyBbYSAU5OJ4CUa4FdfAEF1xwAd5x559//jFvZYReEwaM5DPRygJh1LaA0x9FT8MH9ECHc8CNaw67RgpDPcGRp1uA6HAhEGIu4lFKlPWo3LwFTT6oNh6PXdfsVUJhU6mpLxSpmqooGC4zVUajmrg6cnDHk+PVnmBYCCnHusPGY2kYlcCxoK5OfrKosl5VhXFYq7ZRdFkR4+JQKHUxsGW5l3CoU6ssBl1DtaXObkbNM+tVSxotqxc1LJhT01xfjarLjVKY9EfX3InuO40QEj1QJAaWDPQApjz+BMQUACecR/E/wEDC5wBmGR1vFFuf5e4kvZZFDvw4Oh4H2ho7TtwC9Y9tVjhueAvZiIyPkC7eox5b0NOBCLbNoCcM1banbZDtUac3LOqvKtGQE70fYbtXqY1qbTQtOLQpLdGCIMTkIEaIkKGiIaTsF2Wq1VaeAEGh/KmQk0pRFqVQsXBUnYSDo8NUxUTUQDaQ+FsKz9zho81qlTlRxRfochalinOy7IKIu+M9qAjkNIhFvYwptaK5O0Qi37KHVgS1MOGaqMwzg1aD32odG0oWk0mnaqkxLp9Xt3iOY8WCBq3IuzTFMb0QkhOa2QxDjYMCShfOb8xsfA6gub/whS+wryqjDyTepJEj3bRzO86uEZh5/PHHcUfAfYGvgM0111wDtwYmRxx1jwaxTuR8gEvOkCc04Am19Xl2tw8e6BwGTlJFZoHLgnaSAWPq4JIzpXlThBRi3pQCoaN9pkS5sMJz92olmLGLUPOA6CRGhZyauNXAEOKIh0NQ7lKRJQ+dSV+t1pYeuUspRsrokeYWhIHAcyCQ6YOhSuQ/ETqV4uxDPC+l1yE/pprSBXwveq/CTBImsdiZNelr7OZau8ls0DXadVazsaXGdOnpS+pq7DlO+aPbz2vqFNCp8U6VKCJoFAuHLB8gBOYNvSvraXp0T2a00xoObxAMCDHYCPyyaRvHHywryfJh9si7yS0gkDNW7MgTED49Tj/c9JE+z+YDvfs7nG5Kbok6ivmCR1nR8bPEbDAzQRWXnMmOgqSQ2PEcAyHJXgghPGKHydd97KGonVnhKZ6IMAq1hTgfOLrsydINgivzobYUvk6NwKFloiRIH5eVzHCXtAOXQI8cGsYhlKdrUv7zRwocRaJacI2VFhddsqpMQAsBW3a5J/smR1tSRwa9Wvg3WG0HDx+OtL/8+fuuf9tVb7ZYkfDjH9MLoSyLPZbOpjvSvJHLf1Z0wKTBpyFz8KCDYZP2D+7VcGvXXnst+Q+ySt0kClvus3oDkfYB76AntPVA36YDvVDVMrCkIIZNNqgY7uaJ6l7l3rQgCOUqckc32gnaE5akQccerXZ+g2NOtdGg05qNWk8gQtyRyxdyeiKUbYAyxORUQ68c3VbGUGGiE0mhsOQjhyhTKcwtWWNv6kMRCNBigvDlqdHfKBKBcoWXkLZKO5wKED5Et0cRGFO3m8cZ0jtO7KoRWnE0Qh7CA0WUJ5omCOX2S5mr6nQi0vPKw+Zw9/vfd8vN77lplHGee/50QUjaMLk6VS6KJD3AJ9IdgYP9U7Q1HFJ/+ctfshnKJzgN4IODRzZ2FNTcMRP0aL64Sd6IJA8g3HADbR/0PrO9k+hRxNFEkiqPlyveJxoFBX1hkCe3aguCEFYWdIJHmTHAG1bDYtTVWI3z6q0r5tcubqljoPwBEcZHFoE4jhF4gYtgVLUvGOoc8Ax4g6EoAZ04/gs5LDQutaZOa/OmgngVyOdCV6HwFvPSlQ4e8/rlH4qEG4FWDsII9hY5TDJ4qaWJok2rMlAOddoR5gNnHxkIWMZD2pxiCRBRhgIw0khjLxiROGMlj9gzCzs7Ol++f82ihnvvvPWtb7u67uh24tiHnRYISfkAfnDEJmBu1OzPZaXZOMJpjQNujahSzmTrEwc2WDWIaZQ9eW3WUCkIAH0uP45tKG+PbWkFSEyj0j0Meccs52yPMHsmWc7zh5DUD/FbC+NNEU+RC3fZ3NoNS5rYRDdodb0uHzx754DX5cNZAo1VBAvpdVr2N9DXbWa9w2ZSZ9IDw164+DSJsEX15QysvD6lI1ApocExR7giKcEXVZAWZEHARpdb0VJ1EXsmirIoVUY4KAE5xZNMr9PAvum0GgxudieVPbS4NqmL4T+lTTG/8xFoBQIsQxojQIt8kwKH5wX5yn7uMeAvsNnCTmfAPK1b+nc+fOkFZ3/kvrsvuviScR2RR9affMzogu6f3QnFkxrPAPZJ5SfyRlmeACXt2WefJT0iZDd+3Hz1rne9i6wgWDuQBPKOMoX8uNzaJF2S4s7jj2w51Nve73t0y5GuAW8ZXzd7pqzHpECYxJngKIQ0Yr7mcTBZyLWwoMn++tMWLW2uYatqb+fgkS5XvzuAq16MCPKRHS25oDDRU8TSwcnaTAajSVtfY2lymEAUWCGaDzlGHkMAibNSJJYMxxPhaAKXpXRSXa+z4w2EpQStyO6axQB1UwUgdRqNUa/Va9RWi0iNQrN8a9RrTKBIrwVCIJDNAJcv7AvFIWYG3L44ani5k7OSqgHmjSRecpuYnoj4Do0ZGRgUTkz5+vXlMeSTnpJODex6Ij6w511vecPdd915yimnTLJ2l00K5eppO3fupFACnmmYNDjI5XYWLx6iUElVBa+NzcNXuH7ii8120IoVK4gtlTJHbsIWF9gjVbidR/p3tQ09ua1tT4ezCLNnkgEmbAarc3IIye1OoYCNk7dAQE/5X4bIDRReNDDyVS9rqXnXxatBysa9Xbtb+we9zPwEk0hsIyvqWVYe86fDYLXpaL8qmkx4Yn6tTtVQbWuqxYHFiFcY0sNENW21iOflZCQKlpWQX/inxmCj4yaLzm4y0jJCj1lJeSyBBoWO4W74ZPAVkAa68XiSEFGJQ9JD6LVCAOLGSFW/1s4+jcGo1Y+4fZQ6a5XrpeRR8lEqiwWu+oggld6ZDk6DxBu/yyxDcb+z46X759iq7rnthmuvu37u3JGAmnEvKA+EsgGhlCIlJQibpIQnkKWAEG4JCVS13/3ud4CHzRxEEx+iqhHzg9gh7ahEDocMiStU7Ix6MBSSLtyr+zzP7uoEQrz+8iock0JIzFPeP2ndoWXZf8QQF4bLSA+keUzMUzwRCYSHu/19h4ivtM5ds2TV6lvfeCYuxo9uPtza42L6KuOgTJtj9QQMoSaTcPPzxAJJxYsMiTTC2nGJ5OiUawGRzWyEXLJZDDaT3mzUGXUkhcuY9DqLUS/0vVgCFyYibTEREVH8DEeT4WiMESPZA9+iFiqHEuQrLXuVCnnlsBrZ4O/tH0iFPdb6uRodu7oFI0hh3sY5Rn2Og0JkJDKq8HsU3ClxAYZQoHd/z+b7T1uz7MP33vmmK6+yiNC9CY9SISRdEJj0WDXEY3/yk5/EaYBP8IPGNQ4Nkkgh3LRxEpUfso2Dpw/cWlNTU7ZTeXJr+QwI75oNnx5XcE/bwOPb2tgIyueqgs4BQrz8YyJAJe8s2DSxnLP412rsUTUsVhhlNJMil08kEfbFQt540BsLuqN+ZyLkYflHi6onP9q8M269+Sab1Qx+DnUP09gIdsZ0izs0mYVz+mDYdRQ2x4RjjnhBCeDlXHxU4xRCRoNupuOaeFKAR8GGcij/N4ojyRIMyi8jgkFOcehBBFvEP6xTpc21LaMCrSfmWrLfsPkvyn5NuU9KBhVIkXI5JeT5oof2Px9q23Tl5Rfcc9edZxNnfTRfwLiXlwQh6QVHuzt27CBvNfunYqSVFZeAU/KHEMLA7xCCbKSSAgFuTVYlyR7yDRZEEkw+CkQlbD3Uf7jb/cS2NncgXMaWs/fFu5llI4QtJEWOWPO1/Cc4yATUWLzB0pSOR/vcR8hSGg0iLdxhz0As6MIu52UYDDqj3mAyGXDIWrl04bo1K3rTLYuXrdh+sGfT/p5JTFNlI0tj1OgjyVihkaevwkSMtxh0ScLlv7ArOzbHQAONEYEf8AzoNVWWmrkq7UhuJumJM/5sE6nuBXh4EDxcQ4J2m4Jkn0hY5QmGgk8jdC8a7Hzpj9aq4F03X3vjTTfhrDz5OBUJoSxnzY4nahtp3DBsJGcgjSJ+snOKlzTggR7Au0c+jNwLGuV8UPBzTnABORD/+uL+7uHgY1tbcX7Dx2Fy6rm4+0p9XSQAYSaQ0Zu42LAv6umPePriEX88HKitW+r39rt692oyaaNRh5qKI7DDbq222+pra+Y2N7XMaWRwWGIaGpuWLVnyj1e6odP+9tK+nsEAckmiaCJ/vFybs7j+l+sqgGLQ6bxDXXF3l715maVuHiOCD45dxNKOjyCRC0GULSKNOKI5SYbHfDoz0VDkc22B54gnCDs7u176/fL5jR98/+3XvOMdvKbJx7wYCGU5NzQ08vLAqtFRdjyxZGSPFW1cRTwc/tf49cjAOJlgsZCFr4DHl2sVIuj+5w4c7nVvOdCrSIgy+SQe2xGlNIMqFY/EUcm8/Zg0aGgRrzMdC9qsJpvFYjIbzUa9zeZARNdW25vnNC2Yi1SeU1NTy/uw8191tdVi1elELHoqo/q/J7aTCejPz+1j20cwH0p2nnpjdTQV88dDwHQ6FoICBnfiU3mbwf6Dwc7t9rmrahafqoF8FmmrCNcd/5Cam1JzUlaDnVoKCncBUfpysmxhZXkWpREIF437yGbXgecuO/eUe+6+E1s9u3U50V2KgRBtkcmApO8YP3ADqNeSfR73YJ8HKXTXXXexSZp1LCjfM4+0JFm4x7ccfn5PDzncOge9qEzl5euFDoIUpeaWf9DfezDk7BCsQDRUlYw6bJZ5LU3zW4BJ07y5LY0NDSDFBj1sMJgtFixAu91B9UgjweAjXMmrU6ejz/XwpkNHet0PbTzEDcT+DP44AFBv6Qs7k+m8kvtMOZ7Sd+Gor9CUp+d9AjZh145g+w77/DU1S07XmR3iLpMuXMJgVDS9fNYFzslGgkzPepj7pIJCzyRj3ZsfyPh7bnv323AlowiiFAmTjEhhEGJSEsbzrW9963vf+1627i8fygAeFl1+yhIjRLmR/4AoUT7EFkKhBNBkTsz75RR2ohS1P/3r5h1tzoPdLvxHYWjzeUlT3EaBpojvhH+O+EPDXZ72HTH/UFU6iTtkbY2tpalh8YL5QGfxooVLFi9umjMHDQ23Vypz6bTif+OTToqqpvjbq1850PXIpsPtA77ndrbDQ0vrfr61EebBFwsKNq/kgxvVGx1Mg+GoL5+FP78bigU7HY94D78Qc/fa562uWXyahFAZjxmFEFNIo4n5hrpe/mOTVX3fnbcS8QldPKXmnC+EJPNGVmuCtIk4QLrBraHlAxXWWH7i9AlOmD24sZVxEPNsSj7nN37zLGWwhjxhNtFL1RiPgocYv3jAFXF2Drdtj/kGTUZCtSzLFs1bs3I5T0pBVf7X2NRU7ai2WC1TCv3cx5FpGLbt6/jd03v6XUGUTwkhet5iqR8Ke9hPnIj2pSaxXW9RIDH1AYQED67KDEU8JUNIrksiDUk6GQ327At0vKIxWhzzVzvmr9caJiN/p+7omDNmHEJaX+fu/l2Pnbd+yb1330EcTT751vOFEE+HqUM6ERodlfSjiKEp+yUSQt/6zTN/39LBNiJ7GsVDSMxi2GnoplTUOxgaOuLtORBx99nttjn1NetWLtmwbu2KlSupv4JQZckgJ0RxW8DS27WjZ+Crv36B7Nv7OodyIFTnDHtjE0IoY9QYGkzVvcGhfCQtN6ojNFOr7wsOFz8s4p0J/0vwA0cPfRL19EQGj6CZGmx11Ys3WBuXlN1ZYUYhpOx+DWx/ONiz58Zr3nTnHe+jPkg+vFcBegKWDOuurIwAN8BPDtQ5DuEunFMIqOwIyaNBsRyvW1Tr9voS+JLmccF4pygMu0jbpwoNtQ/tfqJn61/7dz1lTAc2rFn25ovPfd9N77rt1luuu/56Ck6uW7eOoHQgBH6KM7oEs5epammswXOUrPbCPMgHEEf7Ld3b8jlECodEGN8Zs1bUwMznkvHkAR1UJ6KBQPcu98HnvYdeiPQfVGt1ejwi6ucbbI02jQU3gqI3cCY2dZRvin2j+T6s2IzTpKKhmN/psJoIpcGgzXqlTd5IARASq5ByyORsMrmhdMOR2TwkEZdvp8t6nrzt2WsW1KkDQa9TKUFS4CH6LiRPcOBI39YH+rY95Dy8yVIVPvvUtW+9/OLbb7rufbe/9x3vfBexsYsXLUIUZxl8gbrinppgL3xG9QaHWY0LKSKowB4XAAbc4wLxSK3RXsxcFCOjqG29ezz7nvZ3bIsOd2g0WmN1A+BxzF9na16pN9mFW6DIUGfKuiMp1MiU/wRHJxKhKJWUxo7ACHFXJPILGFFuFA8OR8PB+S1NWLYQp3m+2QIUuQK6c/xO/c1fHvnnf/99w9xleludqB832ZFV64U0gKQOu7rdrVuiPicOJTV2y+rli1evWLrhlPVr165buGgR7u5yH7mM28FSl/vOLx/504ut+OpQrUCuQy2WqRW5RhS50DCe2fkMttCIVOpmcx3iyBsLIJGmJrjEwoCjRZKtxjjc/eBhtr9gVbQGi9aMIVartzfobbVao12txV1DzH6aJbAHOwmXnJQKz6apaTf2kfCXhQdnp4j6RUoRl1cPug2jTfiQOx2YdkmkUjn3PuU88PLVV1x03913nnf++Xnq5ycPhCSvTSqSj3z+3x96aV/z8g16W+Ore0Mj7ilHX4+YqKx9kJgJatlH3D2utldgC3DNhC1Yu3zJ2jUr1q9dt2btWvIBsZEzTXS8NOEee377p3/5Ipuqbl+E4Dl6Cp0wuS2kVWvnmuuGIt5I6tXCO5NjCbjaDUhP40DEPUmKFUVsiMFhTUkEhmKu7qi7O5mIiU0/OFdrjaWuBb84i61Oa4Q+Eb5OihKiwgevwWFstJsT0UxXXzAYiokMYmocweVSNb56omwTUTwVPyjFD/bYY6YgxNRRZxLRni1/U/s733Pd2+++845ly5fnszaJBytWOc6z/Rk9Tc7Iw4ePfORz39p8aLBlxZlaRxNKiEjZOeLGxhLJHJWLKyW1+iOuHk/X/mTYDdVWX21fu3LRKevgGtfiVAEXD82Yj0FZ4kMODbuv/Oj/RjIa4uaI0WXtnhxCUsFoMtYEExGkyqR4OKZrwpqpUh+bbm70vBXhEplMzNsXGzwcGuogbzg79o7qmtqGpuq6pobmBS3zF9XVOOqriZNQ2c1GoGE1GU0mvSjBlq7CoZu4WjL372/vPdzZlyITmDEvV+6JuEcjme7I9jq9Ukg4JbBSdG7669JG092330zcjUwTnc9xUkGIB5aq0c5duz/+hW++tKu9eel6c908jcmmxieLb1lNYwG4/4hvIOob9vW3alXp2prq5sb61csWrl+7etXqNUTI4koAT1CkhZPPqB97DpPv3R//jx1dEYPZJPQytWqepWE44oukJgxJYsLVGR2xVMIXDxbiviAWzFcnqzThZCUk8btIIEDK+6ir09Oxw+91O2ob1qxauWwZ7OOSRQsEk4TPMgkrCZcIROKUhAmG49S2II5IfBgTfqv8Tlwg4bP4Z3j8wYG+PhN+GJbq4tQwpJBNpOMjoSnBDtNoZjMCntatfTsfvfS80z94z12XXHrpqPJtk7zVkw1CAidKhN8r27d/9Zvfe+jJ5zUm0oTVks2Id5DEKycSiPpdKgpO2W1NDQ3NTYBn0Snr1y1dumzh4sUN9fVsds0YeLIv5j9/87fP/+yx2oaWKo2e2dxirieQYTDsnggexUFIcfIUkRcK+4cZRcY47kMZYFIqxFNgwTcY9gz5h3sXzp17wQVnn3rKKatXr7LaawbcoZ5hX++Qv3fYR20l9gwIx4jj5ZZKUTOGXQQl66uA4QinpFJZzQRbaJxdhzMRd/WiU7QGWxGcCz0lmwpJSGLpMkeYj9YYlRi7WN/Od77ljffefdeGU0/NfyU8CSGURdGRw4f/8td/PP7U060dHV5fgDXSTBpYm7Wxob6lqbGluXH5UjwKFs2dN7+5paWmujpr8Ey5IZ3/+E55przXwSPtb73jM8Eqs23OEoq7mTQGwRaEhydy8MkXQq9ypCootWTYn4wEknGCVqPil2iAFBYACU9Z8S8Zt1sM61etOOusM9euWt44p9kfVxO2uLdjqM8VxH+PCDzQIjuMn6BCv4789yo8jiqGwmdFqw307A31HaxfdoZ1zjLh5FHIQUvEwxP1TeKeQq4r+FwRYxcY7tz4YJM5cect1B+9HleB/Fs5OSHE80sbLxgIHDp8pK29va+/nyhAZl5NtaN5zhxUtYbGBun3icjOip2ZBE/uS0JyfueHP/3Mt37asPRUZluVVl9rsLONMxB2M8dHL5lC11PNMdXihBpIRBRbKLt5osxqiRxMQEJOhZ+QJ+odiPsH8CrnTOx7ETikVtU47HW11biN26y2efOaoRybmhqNRlNapekaDu5sHT7SH3DDCiQJKxJ3HNm2UHpz1PCfzJeXCyLDHd6DL9rnLK1beb5GT2BlAUQ8p1L2goTjJB7Kf0IXcaaIseve27Xp/jNPWfWhe993xZuutB7NwJ5PaycthHIfPhqJkG6boECWUINBbzSZ0dYmj6PKZ+zKdY7EbV9v7z/986ceeOKl5tUXWFpWqXXGZlNtLBV3Rn3ktcqdegpDrao3VftjIWKHFLwogbH8v9hlSadiobDXGfIORN09+nQEAwbxu2Bec4tw4XO0NDdVV9cCHnaRAQdkOmQbuUoCoThVyikA0+MMOIGmiHM7RsgUujdDr9AMXXufMFqrm9ZfpreO1NTIc9x4EiJ/cTMl92WelxR3GivQ0P4XAq0vvvnSC++79268ovOks+XtXhMQKm5kZ/IqiSIKZn70E59+YeuehpXnWOefYrbWkbMukoiKeO5x0jDiR5sWZADmXzySjgUSUT/OA0GfKxly1RqrGhvqFi2cv3rFskULIBfnJjMqfygOMMglRxkLtz/iDUXDsWQ0JnKVCG6AO4m0dCIGWebZK/EAQnH/kHPXI3qDsXH9ZabaeQU1CoRq1VYKVJITr+S+TPwoSoxd16a/WNO+22+85qb33Lx0yZKC+vkaglAZt0RLnFvjXi7s8Uzm+edf+PRnv/Diy1sdC9c5lp1lrJuv0egJh301hiCXUGP3JhaIDrYGXb2B4f5UIrxwbvPSxQuXL1+6cvmyBfNbzBYbqSexZEgmMeAJE9jHZg0ZSiNwB1RCU6JXJQcgS5Rn478L0Lcmm5zqiLN9aMdDJkd9w+qLLE1MzcI8MKi8RIA9kXnTByGenBi7zhd/v2Jh04fuuf1tV1+DVVyQPv8agtB0zPvytsmbQwps3LjpO9/99wf/9pDKVF09f6113mpD9VwMCammZc2JVDwaHjjk6z0Q9jgXL2g544zTVq1YtnBeM85dhPGRN6+1z029RFSycDwTg3sTEmtEvIzyxRKGu0Zv0Zmckbxcv/N6agCZTnoOvhDo3mmpnVe/+kJLw+L8U5HRJRLqO1QmkhjnXygyr44dexKodrdtHd775EVnbxB09iWX6I6mB82ztQqE8hyoGTpNeiESTvKrX/3657/4ZW/foKluLhDSVzdpjFa1zqzWGcAZqlposE2vSp6+bvmlF1+8ZMlCq606klS19g4f6hykOKwrFMfHJiWySpGLUUBGrv8jhNmxG6r8ZcHlzWDtDbnKtt6r1FFnx/DuR0kxZJ+7vHbZuUbHqwlnphxNWeOMFOFUPZry5BJOUMHm92z9W8bXdeu1V7331lvxRylIi6vYQiUM/rRdqkiajGt4+IWXXrz/L399ctPeOBtdqoxGRDNqa2sp0GZsaqhdPL/53LNPt9jsoVimdSCwr9vTNRRwB2XqKmEiSVEj3rHCNsBbT9RlCSH83vrDgrQs+RC3T4Y8zu1/T4TdBkttzZIzHAvWa/IoNJK9tcysjS8FGRhL7s+Ez83ygmt25wu/neMw/NOdt1x3ww3I8IK0uAqEpu3tlKNhokgOHWl7+MVd1Q67RpXWiXQfmmgsqoQ/qhJp1ZAneLDH0zoUdpGwHe1tZGNT3PuoWSPIfbNOwIN4u4mcucoJIcF/q9l08ux/JjrcrjGw07W0ZsmZQgQVQlDMBIREmKrW37Onf/sjZ61d/IH330lVbKjaCoTKMXlnQRu8SPYx93cOEzyOB8BzO9o6eoddbm8gGIhF8abBvybJ1mcsrVVrdKQSmnClzWQsCoQGI2QVH8kSOupkIMRmbr25uifgLGjrZsxNRVajRMjnOfR8xNmmIUdj3fzqxadaGhfTyYIGdaRYbZU6MI1SCLU23f/Kw6G+fTe+9Q3vu+N2crgX4RJZGENS0ChUTi56BMRcV6kG3IHuQZfXH/r1ozt+/siOv2088szewS3tgd398VaPyhk3JrUWncGgGT9BwzH5iyZzllbygeCsQ243k3ak0EZRPafLmqi7z7X7UfCjJqDI0URmH0vd/ELxI++OO+yoAsxF9WqCi5QKKMLV2NtvNxvmzZ9LDHKeMXajWqxAqJzvpWxtKVPeF4hsO9j7+Na2p7a3UX4ce8hk1FnMJrFTSkVDkr2MxEAKDCCMsndXpIq+wVhz1BlgagMHV7l4MoE/BJ5zU589+jmFtUUaSl/HVvBDQLhGpzfXNNsXrLPMWaIWTgkFHxhvJL6KZOIFX5n/BSpVLOBKxqJz5zQQjk0KkPwvzT2zAqHixm16r5KEGQ6cG3e3P7OjMxqLkzgeKwNnThljPxJmf7QXcG7kncv6MosAzHTSrNM7jFRDwXIS2t7YdKSjnsEbD5h1OG1MmAVurNrGJyI4AgdVZ7tz+4Pewy8nY369pdpat6B64QZb83Li84oeKZl0rujLp7iQHYJ0OjzciSfH0oXzFi1cKBO7F0rHcUkFQtP1jkppV77IufV2c1X0cGsbvm7jBgtwGiEP5BXB+XOUPZRIp7zxkF1n4fMwTkBEDZA8fuIDgOErRPLveoNj6uR1Mo0zqUsz6Zh3wL3/6eEdD4mARY3GXN3smLe2ZulZljnghzsWLtJKGbh8rxVe5UoSlQGrSUOmBPyMJ6kgNHmrFQjlO+ozeR4TGt+BhlrH6csaA85OAjSYrON0IFOFeFGi6ATGrDozMkfKIv4LxikhnrLqTIgsUISSNvkjQGC4In5MK1IsjPVtFdcq/hMij4+SoSXuG/Ad2QRzHezbD4NusNbaW1bCX5PW1IRThY5a2bMTP0rSUpyPyG0W8DQ31JMpAY8E5fmKEXoVCM0kNPK9l+IyKl7n2y49c3G9wTvYTVTP+BePOJdmqDJE0SHyy0kUcSBMqD5kVtwa8Okmt+Pkc5rToqm4OxZQKuLlHCPIwStVQ5oDZlpkuBPOzbn7UW/rxkwyarBUWxoW1Sw+HeFja1mps9QoOZOLmY75DlCJ5wnKP02qDDavFsybS8SLVTGEitDiKopcia9iGi+HHYKXW7d62ZUXn5X0D0a9QwT25N6PaSDQkqmCj2ZHCJmD41uzpU4k4x+JcleFEpFgPErcHnpdCHfVqfrLmQSTe6L+VyeToNlIK6JjzhFUE+jY6tz+kGvfE/62zRQXQvIQFFy9aEPt8rPt89caq5tGVUmZ6obH5XuwTdgH7IfTYlTPn9dCNk1DgU49x7yI4oTXcXn019pNZQ337p7eq+/4RFuvu27JBp2tITf+mc0TipA2mGsGI+5oEspBXa23RZLRUFJkApLDJTxJJxu47PeiYeV/Ry8Eh7B0Mdrzx70DRP6kYkGMb9KS4LCnNzn01mpTDVFL8wyORo2BOPkTRaMRmRLivsGOTQ/OtWfuuuWGd19/Aymdi55dFR+5ooduJi6UE/y3f/rrPf/yVZ2tibzVGpG3emTeS0FUY7RDG/SFhrF8lKCI0YWAjnY0h9+SwUUCLULjEmn3hONdAoQAmBQBrZEgq3Qy4MTmFgWQU6QWSaLI6fQ2EiHozHYEjrF6jt5ag/8BcmomxqJ892D/19f+StfWv11w5ikffP8db7ziimydxSJuUoFQEYM205dEI+FPfOEbP/7f39QtWm9feCrZIAS7oEQqSA2+xmATdSPTWEEKVzaSHiErh+RnInuRvISoPIEKhEw0mIz4yLifxFYKDMfxThjhLRR8iSAIdlzJr2/Umh16/lnr9PZ6IKQ1WDU6A748haVgnemRG/d+uJCnBvY8Ge3e/tYrLr33/XeeeeZZxVlBsvUKhGbFW52yEwMD/fd8+F8f+Nsj9UvWWxeeju4kEokIbzkRp2DTm6PJWJZGE5kQFP+GkWQjyh4IFbGIzEPOJEJukUQh5ie1YiLgTMbCSpU+fkDv6bF8INNQ1bR6jCx2aM0jv5tgxavJ4oK1I0r6KYHlU3Z7Fp5A5xmBjo33NxoS77v52uuvv4H6I6X0swKhUkZvhq6VetuR1iP3fPCfn3j4UcuchbYFGwgO11lEKDWqmMNoxxFOOJ8qMUHeiN8bHMZdgKRfICdF7b2gOxUPEp4pBE7ExzIMYsiITXg5uUi1OgNQ0ZqsOqONtG9qA7ARyNFoDWodgBHF/IQEkw4QJyZysq8KLS7Yd6Br4/0bVi/+8D13XnnVVdTyKeVFViBUyujN3LXSfZjKaJ/+wpcfuP8vzGZ4ZEvLSlP9ImqTJBNxbSqRSZBqIQxIEhFy80fQ0zBv0vyMR0nfI+KGyIGuUwSLzsC+p9Zo1ZpsXC5y/PIhMkdnEpSaIr5GdBvJLozAZipuYubGo5Q7ZZz7X/C3bXzjRed84J67zjvvAkallOYqECpl9Gb0WpFlsqqqta3tF7/6Df+62ttEfXeTkBvEEYldTyU1XDqRFIUCULc00olbp9YbFd3MKKACbJR/oqgjnyCFdGCGdCaKvTTC3o1KdiK/KvQYibA9SiFO7ulaaONFni+0uIiva+OfrZnQ7Te8/cb3vGf5suWFBGGMc98KhIp8GcflMimLvF7Pxk2b//Hwo088+XRnZ3s4HBFSQrIFIixPo9ZbrPULzLVzBFQMZuAkhI/BpEZb01vQ31SsuxDmIkAW7W+MJ1qRc0qEapNwJ6KkOpD8OFtUKfyt2ZNVUqUqKbMUwiO7l1LkvYobfkFnU+Gz++U/rpjf+E93v/fqa95RaKaEsTeuQKi4l3GcryIab3jYefDgoe3bt2/dtr27pycUjhCwiluQw26JxJNHOnriVZR6tYs0roJOyIAl0oCY7PVGW51gojU6uWcqXN2UAD0hxBR2+9XprTzlRKRBdodKQhCJSJy2Ta33xv0iLIksj/FovaUxrdH6QkMC+tyOwmd4kauNZp3Vn8L/SCn+PZKkuAhBV+hbEAEOrsOb3VQjvuA06thddNHFuMYVGmM36q4VCBX6GmbX+cFgkBSTHH6/PxQKxqIx5gTHE8++uHHLNo/HG45EU6kku+9wcl7OCUdTakImqg0mqx7+QPyzGaw1yCuoBWELAbkRUAkhJbCh0NujH1uKFOWQAocI6mDvfqux1jl4CCmTTiZJAWlztMyZf7rLedgz3IrCCZ6rGxbPn3+ax9MbVsUIBdQYbbKUrYLeEZp+2oZYpHTt3vhnVXAALe7WW29dtWpVKXT2yONXvBOm7YVNb8OjcnoJ1jqppIFTJn0kHGptbe3u7vb6/MFQyKhnb0c/OOzu7OoZGBjs7R/wen3hSDgQDMWFY7YeuQSodEaIPavBXscWEHCizIQI7ISokLIiW+ZEbBZhaCG+2GPh+xg5H0POzuBwd1NTS1WCyigQ5aTVNtXYzfVzliQz2sGeg6FwOBQMm+uWGhzzug69kFGTT6XaaKt1NC831c3TmuxiUzi/cknFjKwS5h319FKNeF6N6d47brnu3dc3NNSXKIKOUUqL6VblmuM9ArkrYO6CCpYo38l2ECpfPB5nkdfrdKlk0uP1+DzeQadzyDmMjHJ5OKjJ5B0ccvLP4/MHgmGc7dIqqhjq1IKqUmUoBCqqy2R1OmXnFg9xpIeiAabTiUQ4YNCp589tPufUtSuWr8CPgQSyZqOxpXlOfX0dPLs/EBL38fn9gTB9CPi5tXdo0NnTP+iNZvBysDUtdcxdabQ3VIkQ8RGTqZyjqxT09rRtG9zz9KVnrbn7jtsvu/xy6uRWIFTOQT7R25oITrnPJUSJ4nkNrsiQHItFSZWM+hcIBoc5XG6Xyz3scg0gqsCY109RXaNeb7XixSPc7uAqkHSE/2F5QWMI0ZdKGw36upqaxoZaKqiceeaZq1atxl+GlrmEAFuzxQIcaSemHCLvQzQajyeQgW6Pt69/YM/evc++sLG1a4CsXWRZqFm03lw7V60TAXAjbEcxfOColyl0RNaC3i0PxIZbb37XW6hGvH79+tLxU5FCJzpqpuh/rrI35XRBD2RykyGI/8AVVpbP5wuFRFUFAs0NRuJ/RK5gfsqw2UgkAiSQcnxIHvfqmhrKWlGDKP/qMpB11CpCOPX09O7YueOxJ5/btnu/yxvU186rW7je1rBAbbIp+qOMlSqBb0AEqTWxwHD3pr/UGWJ3v/emm29+D8UJphyTfOZHhU7IZ5Reo+cgOkAIDy8rUksrSxEOQquTxd4VVU6coC8hXgBAgli0y7179/39kSde3Lytq3dQbZ/TuOgU25xl7H0pWmQJQFK0OG/Hzr4dj59/ytK777yNfFc4JVQg9Bqd2dP92KOIium+XbZ9gIkE9Pu9u/fsefSJZ17cuHnPgTa1rblxyQZr8zI1aRhK8i1KD2x/JNC149q3XfH+u+4sLt/VuEOh+cIXvjBjY1S50QkxAkoYRAlaU1EPKXELHU+Jzvnz5p971umnb1g3t7nJN9R1ePe2kLsPBwrhjqTVFazQKSIIvyd3x85qffriC8+78IILqpVI77IcFQiVZRgrjZQ6AhK3EkiUG6RSGAVdTjt1/ekbTpnXXNvTdrDz0M6Ipx9PC72RyrmFJHYUDKImPNThPPLKysVzr7j8klM2bDAapsgkkf/zVCCU/1hVzpz2EcgKQEGbq9XAZd68uevWrjn37NMaqq1drQd6D+8M+106g4n9qxHP8ak7hW9R2te1O+bqOGPD2jdc/nrKLxeRtXSi+1QgNPUbqJxxvEZABtdC8ZGlasP6da8790zKf3ce3tt7aGc8FjGarUqeLZnqZELNEzCixQ0f2VptyFxy4TkXXnghzGEZn6gCoTIOZqWp6RoBhAY7TJTIPRsb6ZQ15G/oOrizt+MAcQp6s01FmXQO4Ws3DpCUIlztrsNbly5queqNl5122unsqJaxoxUIlXEwK01N7whIIJG894Jzzlq6ZEHIM7h/x0b/8IAR7zt87UR2uzGHcHhN+7r3pXzdp69f9YbLLlu6fHkZtTjuV4HQ9L71SuvlHQH4BsgGPB5WrVx59pmnNTfUdR7efXjvDmJy9YRO6c1KCrtXD5F7PuIbPPCS3aR+4yXnn3fBBQ11dQWVaZmy/xUITTlElRNm0QhItl2SDXhCbDhl3Wkb1pm16b3bNw11H6KiHvEdaq0paxnhlhQa7vG2b108t+lNb7j09NPPMJrK4BeXOyIVCM2i+VHpSv4jILk7XCLmzZt32qmn4N3qcw0c2rnZ5+zVaGEZ7FDjgmVIpzwdO1KBwXNOXXPZ6y9dtmyZrDeb/42mPLMCoSmHqHLCrB4B8ICrzqJFiy46/5zmxrre9kMd+7YGfW44A5J1JaLBoT3P2o3qK17/ugsuvBDBVV78CJFYiRea1ROk0rm8R4DYDiIsDh06+Ls/3P/3R55sH/DWzF+lVVd5e/atXzbv/bffevXb304RobL4xR1jblUglPc7qpx4AoxAIpkMBvybNm350wN/f/zpZ3sGhpFR1111yW3vfe/ZZ58NFVH2Z6hIobIPaaXB4zYCQh7IvJPp9ODgwMZNWx55/OmBgb43XX7JNde8gzpCZRdBFUXuuL3syo2ndQQUV7tMMpHo6+sjN0ttbS1EQinhGJP09v8DhATwMmK6iD4AAAAASUVORK5CYII=)
(c) The east end of the straight wire will be having high electrical potential.
Question 8.Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self - inductance of the circuit.
Answer:Given: Initial current I1 = 5.0 A
Final current I2 = 0.0 A
Time = 0.1 seconds
Average e.m.f = 200 V
Change in the current can be calculated as:
dI = I1 - I2 = 5.0A – 0.0A
dI = 5 A
The self-conductance of the circuit is calculated using the formula:
![](data:image/png;base64,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)
or ![](data:image/png;base64,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)
substituting the values, we get
![](data:image/png;base64,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)
∴ L = 4 Henry
Question 9.A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
Answer:Given: Mutual conductance, μ = 1.5 H
Initial current I1= 0
Final current I2 = 20 A
Time taken t = 0.5 seconds
Change in the current can be calculated as:
dI = I1 - I2 = 20 – 0.0
dI = 20 A
The mutual conductance of the circuit is calculated using the formula:
![](data:image/png;base64,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)
or ![](data:image/png;base64,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)
As we know that ![](data:image/png;base64,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)
Substituting it in equation, we get
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 10.A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the having a span of 25 m, if the Earth’s magnetic field at the location has a magnitude of 5 × 10–4 T and the dip angle is 30°.
Answer:Given: Speed of the jet plane towards west = 1800 km/h
In m/s, speed of the jet plane towards west = 500 m/s
Length of the span of the jet plane = 25 m
Magnetic field = 5 × 10–4 T
Dip angle =30°
The vertical component of Earth’s magnetic field can be calculated as follows:
Bv= B sinδ
On substituting the values, we get,
Bv= 5 × 10–4 T × sin30°
⇒ Bv= 5 × 10–4 T × 1/2
∴ Bv = 2.5 × 10–4 Tesla
The voltage difference developed between the ends of the jet can be calculated using the formula:
e = Bv × l × v
On substituting the values, we get
e =2.5×10–4 T× 25m × 500m/sec
on calculating, we get
e = 3.125 V
∴ the voltage difference developed between the ends of the wings is approximately 3V.
Predict the direction of induced current in the situations described by the following Figs. 6.18(a) to (f).
Answer:
The direction of induced current will be given by Lenz’s law.
According to the Lenz’s law: The direction of induced current by change in magnetic field (Faraday’s induction) will be such that it opposes the change that caused it.
As seen from the given figures, the direction of the induced current is shown when the north pole of the magnet is moved towards the closed loop or away from the closed loop.
Question 2.
Use Lenz’s law to determine the direction of induced current in the situations described by Fig. 6.19:
(a) A wire of irregular shape turning into a circular shape;
(b) A circular loop being deformed into a narrow straight wire.
Answer:
According to the Lenz’s law: The direction of induced current by change in magnetic field (Faraday’s induction) will be such that it opposes the change that caused it.
(a) In the figure given below, the direction of magnetic field is perpendicular into the paper.
Now, when we change the shape of irregular loop into a circular loop, then the area of the loop will increase. Because, area of circle is considered to be greatest.
Since, area of loop increases, ∴ the magnetic flux will also increase.
Now, the current will be induced in the loop such that the magnetic flux decreases. And, magnetic field will decrease when the area will decrease i.e. the wires should be pulled in the inwards directions, to decrease the net magnetic field.
∴ the current will be along “adcba”.
(b) In the figure given below, the direction of magnetic field is perpendicular coming out of the paper.
Now, when circular loop is transformed into a narrow straight wire, then the area of the loop will decrease. Since, area of loop decreases, ∴ the magnetic flux will also decrease.
Now, the current will be induced in the loop such that the net magnetic flux increases in the wire. ∴ the current flow will be along “adcba” which produces the induced magnetic field outwards the paper.
Question 3.
A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1 s, what is the induced emf in the loop while the current is changing?
Answer:
Given:
No. of turns in the solenoid coil, N = 15 turns/cm = 15000 turns/m
(∵ 1m = 100 cm)
∴ no. of turns in the solenoid coil per unit length, n = 15000 turns
Area of the solenoid coil = 2.0 cm2
In m2, Area will be 2 × 10 - 4 m2
Since current carried by the solenoid coil changes from 2.0 to 4.0 A in 0.1 seconds
Therefore, change in the current in the coil of solenoid = final current – initial current
di = 4.0 – 2.0 = 2.0 A
The change in time “dt” is given as ,dt = 0.1 seconds
Applying Faraday’s law, induced e.m.f can be calculated as follows:
…(1)
Where Ф is flux induced in the loop
And, flux is given as, Ф = BA
Where “B” is the magnetic field and “A” is the area of the loop.
For a solenoid, B= μ0nI
Therefore, the equation (1) becomes:
Or
Or E = Aμ0 n (dI/dt)…(2)
∵ A, μo and n are constants
Substituting the values in equation (2), we get,
⇒ E = 7.54 × 10 - 6 V
Or E = 7.54 μV
(∵ 10-6 = μ)
Hence, the induced voltage in the loop is 7.54 μV
Question 4.
A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s–1 in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case?
Answer:
Given:
Length of rectangular wire = 8 cm
Breadth of rectangular wire = 2 cm
The area of the rectangular wire can be calculated as follows:
A = l × b
A = 8 cm × 2 cm = 16 cm2
In m2, area will be A = 16 × 10 - 4 m2
Magnitude of magnetic field B = 0.3T
Velocity of the loop, v =1 cms - 1 = 0.01ms - 1
(a) The emf developed across the cut can be calculated as follows:
e = Blv …(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
substituting the values in equation (1), we get,
e = (0.3 T × 0.08m × 0.01ms - 1)
e = 2.4 × 10 - 4 V
Time taken for travelling along the width of the loop can be calculated as follows:
T =distance travelled/velocity with which distance is travelled
T = b(width of the loop)/v (velocity)
T = 0.02 m/0.01 ms - 1
T= 2 seconds
This means that the induced voltage will last for very short direction of 2 seconds.
(b) The emf developed across the cut if the velocity of the loop is 1 cms–1 in a direction normal to the shortest side of the loop can be calculated as follows:
e = Bbv…(2)
where B is the magnetic field
b is the width of the loop and,
v is the velocity of the rectangular loop
substituting the values in equation (2), we get,
e = (0.3 T × 0.02 m × 0.01 ms - 1)
e = 0.6 × 10 - 4 V
Time taken for travelling along the width of the loop can be calculated as follows:
T =distance travelled/velocity with which distance is travelled
T = l(length of the loop)/v
T = 0.08 m/0.01ms - 1
T = 8 seconds
This means that the induced voltage will last for 8 seconds.
Question 5.
A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s–1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.
Answer:
Given:
Length of the metallic rod = 1.0 m
Angular frequency = 400 rads - 1
Strength of magnetic field B= 0.5 T
Since it is clear that one end of the metallic rod has zero linear velocity whereas the other end of the rod has linear velocity of lω
∴ The average linear velocity of the metallic rod can be calculated as follows:
v = (lω + 0)/2
⇒ v = lω /2
The e.m.f. developed between the centre and the ring can be calculated as follows:
e = Blv ...(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
⇒ Substituting the value of v in above equation, we get
e = B × l × (lω/2)
e = (Bl2ω)/2
e = (0.5 T × 1m2 × 400 rads - 1)/2
On calculating, we get
e = 100 V
Hence, the emf developed across the ring is 100 V.
Question 6.
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s–1 in a uniform horizontal magnetic field of magnitude 3.0 × 10–2 T. Obtain the maximum and average emf induced in the coil. If the coil forms a closed loop of resistance 10 W, calculate the maximum value of current in the coil. Calculate the average power loss due to Joule heating.
Where does this power come from?
Answer:
Given:
Radius of the circular coil r = 8.0 cm = 0.08 m
No. of turns in the coil, N =20
Angular frequency ω = 50 rad s - 1
Magnitude of magnetic field B =3.0 × 10–2 T
Resistance of the closed loop = 10 Ω
The area of the coil can be calculated using the formula
A =Ï€r2
A = 3.14 × (0.08 m)2
The maximum induced e.m.f is calculated as follows:
e = N ω A B
e = 20 × 50 rad s - 1 × 3.14 × (0.08 m)2 × 3.0 × 10–2 T
On calculating we get
e = 0.603 V
Since for a full cycle, the average induced emf will be zero.
The maximum current for the circular coil can be calculated as follows:
I = e/R
Substituting the values
I = 0.603 V/10 Ω
I = 0.0603A
The average power loss due to Joule’s heating effect in the circular coil will be given by:
P = (eI)/2
P = (0.603 V × 0.0603 A)/2
On calculating we get
P = 0.018 W
A torque was produced due to current induced in the coil. This torque opposes the rotation of the circular coil. Since a rotor is the external agent in the coil and it should apply the torque so that the coil keeps rotating in the uniform manner. Therefore, the dissipated power comes from the external rotor.
Question 7.
A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s–1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 × 10–4 Wb m–2.
(a) What is the instantaneous value of the emf induced in the wire?
(b) What is the direction of the emf?
(c) Which end of the wire is at the higher electrical potential?
Answer:
Given:
Length of the wire, l = 10 m
Speed of wire, v = 5.0 ms - 1
Magnetic field B = 0.30 × 10–4 Wb m–2
The diagram is:
(a) The e.m.f induced in the wire can be calculated as follows:
e = Blv ...(1)
where B is the magnetic field
l is the length of the loop and,
v is the velocity of the rectangular loop
substituting the values in above equation, we get,
e = 0.30 × 10–4 Wb-m - 2 × 10 m × 5ms-1
e = 1.5 × 10–3 V
(b) The direction of the induced emf will be from west to east in accordance with the Fleming’s right - hand rule.
According to Fleming’s right - hand rule: When the right hand is held with the thumb, first finger and second finger mutually perpendicular to each other, as shown below.
Then, the thumb points in the direction in which the conductor moves; the first finger gives the direction of the magnetic field (N ⇒ S); and the second finger gives the direction of the induced current.
(c) The east end of the straight wire will be having high electrical potential.
Question 8.
Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self - inductance of the circuit.
Answer:
Given: Initial current I1 = 5.0 A
Final current I2 = 0.0 A
Time = 0.1 seconds
Average e.m.f = 200 V
Change in the current can be calculated as:
dI = I1 - I2 = 5.0A – 0.0A
dI = 5 A
The self-conductance of the circuit is calculated using the formula:
or
substituting the values, we get
∴ L = 4 Henry
Question 9.
A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
Answer:
Given: Mutual conductance, μ = 1.5 H
Initial current I1= 0
Final current I2 = 20 A
Time taken t = 0.5 seconds
Change in the current can be calculated as:
dI = I1 - I2 = 20 – 0.0
dI = 20 A
The mutual conductance of the circuit is calculated using the formula:
or
As we know that
Substituting it in equation, we get
Question 10.
A jet plane is travelling towards west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the having a span of 25 m, if the Earth’s magnetic field at the location has a magnitude of 5 × 10–4 T and the dip angle is 30°.
Answer:
Given: Speed of the jet plane towards west = 1800 km/h
In m/s, speed of the jet plane towards west = 500 m/s
Length of the span of the jet plane = 25 m
Magnetic field = 5 × 10–4 T
Dip angle =30°
The vertical component of Earth’s magnetic field can be calculated as follows:
Bv= B sinδ
On substituting the values, we get,
Bv= 5 × 10–4 T × sin30°
⇒ Bv= 5 × 10–4 T × 1/2
∴ Bv = 2.5 × 10–4 Tesla
The voltage difference developed between the ends of the jet can be calculated using the formula:
e = Bv × l × v
On substituting the values, we get
e =2.5×10–4 T× 25m × 500m/sec
on calculating, we get
e = 3.125 V
∴ the voltage difference developed between the ends of the wings is approximately 3V.
Additional Exercises
Question 1.Suppose the loop in Exercise 6.4 is stationary but the current feeding the electromagnet that produces the magnetic field is gradually reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T s–1. If the cut is joined and the loop has a resistance of 1.6Ω , how much power is dissipated by the loop as heat? What is the source of this power?
Answer:Given: Length of rectangular wire = 8 cm
Breadth of rectangular wire = 2 cm
The area of the rectangular wire can be calculated as follows:
A = l × b
A = 8cm × 2cm = 16 cm2= 16 × 10-4 m2
Initial Magnitude of magnetic field B = 0.3T
Velocity of the loop, v =1 cms-1
The rate of decrease of the magnetic field i.e. ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAhCAMAAAAyGQ8WAAAAAXNSR0IArs4c6QAAAIpQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6OjoAOjpmOjqQOmZmOmaQOma2OpDbZgAAZgA6ZgBmZjoAZpDbZrbbZrb/kDoAkDo6kGYAkGY6kNv/tmYAtmY6tpA6ttvbttv/tv//25A625Bm27Zm27aQ29vb2////7Zm/9uQ/9u2//+2///by4uUqQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB3klEQVRIS+VWbVPCMAxOeXFTEZiCDqSgVHFs6///eyZ926qVA3H9gLnjbtmNPMmT5GkB/o0JlkCZMrTBa6yieQKw72+hyvAhjgkDCXxYRECsZkiogSzvnyIgyjwp5JIgqZfTGEWW1ysAS2yVd9tLuab4HiSITnv5djcjyDqbFFV+VeiJ7bhKRSf2MGXjDZvrvRwf6KV8Zmzk9tZ5cofzN8DukAkKQob5h0xDHmsyHyIdNlTjcfaI+2zei94KRH8r1y3IOtNZ0DKcBrnHaDjWZosaj2QEq9PvxRR/CFc//EWVnBKvrTz5XpMKwZoKqwVjvYnXKclxaI42YpIg9Uj7HoDKwJiBpE/k0tsA1WnkIWzczgEjPh2IhrKQ1sMzoaVaBrLOMHg5ClTlQtuHH3LQ4cOQMm+nbolds9uXo0kMfWip1FPueaiZ7X9YSHi/YYPwFAUz+Uasbpdii6zt8cRjz0EC7NKT9vBrJmoP3JK0PCWS+4ZaA6naeN5hSMOq+FSL4jwt0pI3kFwPXJmiRChN/b3RwUqCqHfTemBa4CDRV5jVAiX0gIDS7Se2kWydJoBnZ0hwSi3jmLn9bFAMOj2hm2rc7Sdele4qctGQ7vaDUvERZ3rs7Qf1ojePBHn5MJ99py+VrXklQgAAAABJRU5ErkJggg==)
The e.m.f developed in the rectangular loop is given as:
![](data:image/png;base64,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)
dФ is the change in the flux across the loop = AB
⇒ ![](data:image/png;base64,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)
Or ![](data:image/png;base64,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)
Therefore, substituting the values in above equation, we get:
e = 16×10-4 m2× 0.02 Ts-1
⇒ e = 0.32 × 10-4V
The current induced in the loop can be calculated as follows:
i = e/r
i = (0.32 × 10 - 4)/1.6
⇒ i = 2 × 10 - 5A
The Power loss or dissipation can be calculated as follows:
P = i2R
Where, R is resistance = 1.6Ω
⇒ P = (2 × 10-5A)2 × 1.6Ω
⇒ P = 6.4×10-10 W
The source of the power is an external agent. This is due to change in the magnetic field with time.
Question 2.A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s–1 in the positive x - direction in an environment containing a magnetic field in the positive z - direction. The field is neither uniform in space nor constant in time. It has a gradient of 10–3 T cm–1 along the negative x - direction (that is it increases by 10–3 T cm–1 as one moves in the negative x - direction), and it is decreasing in time at the rate of 10–3 T s–1. Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mW.
Answer:Given: side of square loop = 12 cm
In metre, the side of square loop = 0.12m
Area of the square loop = 0.12 × 0.12 = 144 × 10 - 4m2
Velocity of the loop = 8 cms-1
In metre/s, the velocity of the loop, v= 0.08m/s
Since gradient of electric field is along negative x - direction
![](data:image/png;base64,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)
In Tm - 1, ![](data:image/png;base64,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)
∴ The rate of decrease of magnetic field in time is given as:
![](data:image/png;base64,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)
Resistance of the square loop = 4.50 mΩ =4.5 × 10 - 3Ω
Due to change in the motion of the square loop in presence of non - uniform magnetic field, the decrease in the magnetic flux is given as:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Due to explicit time variation in magnetic field, the rate of change of flux is given by:
![](data:image/png;base64,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)
Substituting values in above, we get
![](data:image/png;base64,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)
![](data:image/png;base64,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)
The total emf induced in the square loop is :
e =1.44 × 10–5 V+ 11.52× 10-5 V
e = 12.96 × 10-5 V
The induced current can be written as:
i =e/R
⇒ ![](data:image/png;base64,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)
⇒ i = 2.88 × 10 - 2A
The current direction will be in the way that there will be increase in the flux along positive z direction.
Question 3.It is desired to measure the magnitude of field between the poles of a powerful loud speaker magnet. A small flat search coil of area 2 cm2 with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region.
Equivalently, one can give it a quick 90° turn to bring its plane parallel to the field direction). The total charge flown in the coil (measured by a ballistic galvanometer connected to coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50
. Estimate the field strength of magnet.
Answer:Given: Area of small flat search coil = 2 cm2
Total number of turns in the coil n = 25
Total charge measured by the ballistic galvanometer = 7.5 mC=7.5 ×10-3C
combined resistance of the coil and the galvanometer R= 0.50![](data:image/png;base64,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)
The current induced in the coil can be calculated as follows:
i = e/R
also,![](data:image/png;base64,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)
substituting in the equation we get
![](data:image/png;base64,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)
⇒
…………..(i)
Initial flux through the coil, Ф1 = AB
Final flux through the coil, Ф2= 0
Integrating equation (i) on both sides, we get
![](data:image/png;base64,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)
Total charge ![](data:image/png;base64,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)
Therefore, ![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJwAAAArCAMAAAC6qRGyAAAAAXNSR0IArs4c6QAAAJNQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6Ojo6OjpmOjqQOmZmOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjpmZmY6ZrbbZrb/kDoAkDo6kLbbkNvbkNv/tmYAtmY6tpA6tpBmttuQttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///b4CsRDQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACnklEQVRYR+1Y23baMBCUCG2cNL0AIW3dFtM0cW5ypP//uu5KNpZhV5aDkc/p6T4Bxp5h9jZCiP/xzyugl3K2EcLkUn5P8GMJOH1zzwLD18/hol6m4IY4Hpy5zaSUC14UvfqKmpk8ETkfrpjfiSqb8ch69St/95KQXAunsKDKRQHwTOjVRoGy6ZRr4QqoJ319X2WsdEBOFLNNQnINnMmh2tQCytCvugKq0AXoiuSq7DwluRoOSZkfwKBDrpNgJCdK+S1ZQ+zgUDmFme0hZ/L5OlW32qlq4aDmtvCuusCPtjjQ9sMqJ1SaGQwyeXDl2Z8raFTs1oePa5Kcm75FkgWxG/YWDtYSVN1vHChQWQQ5mNiWVqCfx9xqXbgKF8SHOwtAkaOQze0Vv+6aG8pP7qHHxNar80hyJv/CjmyPSnU5agvFkbOzkYw9/2C7bKwwxfsYRdQZkVPSP5T8UtxxjhzuJa6EgD2pn2dyqqdJ/xAjXSS5yASQbUv7B74AWqxxyVke+8H4B/y4J05PjvYPbrZjdJxEl+1QcjtPcvDCDsO6H3xAzj8EbCLDmce2V/ryQKWV8w895BBqqHJhelzNNf7heS3l5/oRTc2NmNYwObJbW/+gVz/FY90zASM2dM715TM05zr+wRkwiPRzTpAbwvcPcGByP2TEDbGvHB7yW8fij01ijfj+4bEuuRjh+HRx8PUdegkz9Ck7GLo9rqRsuB3pSjh4x85t0fLQAgf9nAJuCszS0X6OhffI4Yl6QKCVHee84chx8DV1apcOYPvmr4bh7dWnbJBwb6ZyeGMY3vbLVLq5vwR5eKT+upz3n2VGlMt7VBje6qrsf3lTRBjeXjX5VIkNw9spCKfpiGPKKZQNwmNBIrtimqaYGP4Uck/6zL81wElj6scJ2wAAAABJRU5ErkJggg==)
⇒ Q = (NBA)/R
Therefore, B = (QR)/NA
So, substituting all the values in above equation, We get
![](data:image/png;base64,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)
On solving, we get
B = 0.75 T
Question 4.Figure 6.20 shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod = 15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0 mW. Assume the field to be uniform.
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)
(a) Suppose K is open and the rod is moved with a speed of 12 cm s–1 in the direction shown. Give the polarity and magnitude of the induced emf.
(b) Is there an excess charge built up at the ends of the rods when K is open? What if K is closed?
(c) With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ even though they do experience magnetic force due to the motion of the rod. Explain.
(d) What is the retarding force on the rod when K is closed?
(e) How much power is required (by an external agent) to keep the rod moving at the same speed (=12cm s–1) when K is closed? How much power is required when K is open?
(f) How much power is dissipated as heat in the closed circuit? What is the source of this power?
(g) What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?
Answer:Given: Length of the rod = 15 cm
Length of rod in metres l = 0.15 m
Magnetic field strength B = 0.50 T
Resistance of the loop R = 9 mΩ = 9 × 10 - 3 Ω
Emf induced in the loop = 9 mV
Speed of the rod, v= 12 cm/s
Speed of the rod in m/s, v= 0.12m/s
It is shown as below:
![](data:image/jpeg;base64,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)
(a) Induced emf can be calculated as follows:
e = Bvl
e = 0.50T× 0.12ms-1× 0.15m
e = 9× 10-3V = 9mV
The polarity of the induced emf is such that the end P is positive and end Q is negative.
(b) Yes, there is an excess charge built up at the ends of the rods when K is open. When K is closed, the excess charge present will be maintained by the flow of current continuously.
(c) The net force on the rod PQ is zero still they experience magnetic force due to motion of the rod magnetic force is cancelled by the electric force set up. This happens because of the excess charge on both the opposite ends of the rod.
(d) The retarding force acting on the rod when K is closed can be calculated as follows:
F = iBl……………(i)
Where i= induced emf(e)/Resistance (RΩ)
I = 9mV/9×10-3Ω
I= 1A
Substituting the values in equation (i), we get
F = 1A× 0.50T× 0.15m
F = 75×10-3 N
(e) Power required when K is closed:
Power = Fv
P = 75×10-3 N× 0.12ms-1
P = 9×10 - 3 W
Power = 9 mW
When key K is open, there is no power required.
(f) Power dissipated H = I2R
H = 1A 2× 9×10-3Ω = 9 mW
9mW power is dissipated as heat in the closed circuit and the source of this power is external agent.
(g) The induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular is zero because the motion of the rod doesn’t cross across the lines and therefore induced emf will be zero.
Question 5.An air - cored solenoid with length 30 cm, area of cross - section 25 cm2 and number of turns 500, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10–3 s. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.
Answer:Given: Length of the solenoid = 30 cm=0.30 m
Area of cross - section = 25 cm2 = 25m× 10-4m-2
No. of turns in the solenoid = 500
Current, i = 2.5A
Time for which the current flows t = 10–3 s
The average back emf induced across the ends of the open switch in the circuit is as follows:
………………(i)
where dФ is the change in the flux and is equal to NAB
B is the magnetic field = (μ0Ni)/l
Substituting in equation (i), we get
![](data:image/png;base64,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)
Substituting the values in above equation , we get
![](data:image/png;base64,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)
On solving, we get
e = 6.5 V
∴ the emf induced in the solenoid is 6.5V
Question 6.Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig. 6.21.
![](data:image/png;base64,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)
Answer:Let a small element dy in the loop at a distance of y as shown in the given figure:
![](data:image/png;base64,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)
Magnetic field associated with the the element taken i.e. dy can be calculated as follows:
dФ = BdA ………………..(i)
where dA is the area of the element dy i.e. ady
B is the magnetic field intensity of the element dy at a distance of y and can be written as:
![](data:image/png;base64,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)
Putting in the equation (i)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting limits of y from x to a + x
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Mutual conductance is given by the relation:
Ф = MI
Where MI = ![](data:image/png;base64,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)
Or M = ![](data:image/png;base64,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)
Question 7.Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, v = 10 m/s.
Calculate the induced emf in the loop at the instant when x = 0.2 m.
Take a = 0.1 m and assume that the loop has a large resistance.
Answer:The emf induced in the coil is given as:
e = B’ av
e = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAAgCAMAAAB5NuugAAAAAXNSR0IArs4c6QAAAKtQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjqQOmaQOma2OpC2OpDbWIFmZgAAZgA6ZjoAZjo6ZjqQZmY6ZpCQZpDbZrbbZrb/kDoAkLbbkLb/kNv/tmYAtmY6tmZmtpA6vJA6tpBmvJBmttv/tv//25A625Bm27Zm27aQ29u22/+22////7Zm/7aQ/9uQ/9u2/9vb//+2///b8jQKvwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABlklEQVRIS9VVa1PCMBBMUCpRlIfFN1XiEyJqY7H5/7/MvSSlOEDSwS96M8wwkO3t3u6ljP3BKgRP8p156dZkZyzTe7OmYNlhJhuunv5XYAy57bQ2o22eT2ZMJvkiHbIyHVfSadqqNw0PzWQD+Ck57z/yfnE0Y6pDAOdzcTwOoX0j6Q7VYI8pDkNue2nS2VSmN8Z/9WgVyJnJLEkmB+6wFrz3I5V1azPvQhviwPlBDlUkLSiK1dFBm9xITNFkREbv4RNNMLJXl+2lCKOg04P55rKCVkVbcCHg6YgeEI3/EmzezgXnABNvTXwa0PadSbMfERyy1jYAe832pJtvmV5dkCXRaZcIrcsPlC4unTmS2x8rn7eGsPb5Hi5/pCR6uTSx5QklrArB+xmlZ73C2QYaW1WObtl8Q14iWwXZtM80ESxQCQJUp6I1KUTyFNvnJVUK3MMUBtJC6yRX/eb39txJ9mCm9q+3OrD2h/LjqsCv3eYvDA2strkl2l/5553J2pELrCJQpjQmgHED4kLovYiOkb95WcUkfwPznC4ilK5/8AAAAABJRU5ErkJggg==)
substituting the given values in above relation, we get
e = ![](data:image/png;base64,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)
On calculating, we get
e = 5 × 10-5V
Question 8.A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non - conducting spokes and is free to rotate without friction about its axis (Fig. 6.22). A uniform magnetic field extends over a circular region within the rim. It is given by,
B = – B0 k (r ≤ a; a < R)
= 0 (otherwise)
What is the angular velocity of the wheel after the field is suddenly switched off?
![](data:image/jpeg;base64,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)
Answer:Line charge per unit length is given by the following relation:
Total charge/ length = Q/2Ï€ r
Where r is the distance of the point within the wheel
Let m and R are mass and radius of the wheel
Magnetic field is given by the following relation:
![](data:image/png;base64,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)
The magnetic force at balanced by the centripetal force at a distance of r
i.e. BQv = mv2/r
v is the linear velocity of the wheel and is equal to v= 2π rλ
⇒ B × 2Ï€ rλ = mv/r
Or ![](data:image/png;base64,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)
As we know that angular velocity is given as: ω = v/r
⇒ w = ![](data:image/png;base64,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)
When R> a and r ≤ a
ω = ![](data:image/png;base64,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)
Suppose the loop in Exercise 6.4 is stationary but the current feeding the electromagnet that produces the magnetic field is gradually reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T s–1. If the cut is joined and the loop has a resistance of 1.6Ω , how much power is dissipated by the loop as heat? What is the source of this power?
Answer:
Given: Length of rectangular wire = 8 cm
Breadth of rectangular wire = 2 cm
The area of the rectangular wire can be calculated as follows:
A = l × b
A = 8cm × 2cm = 16 cm2= 16 × 10-4 m2
Initial Magnitude of magnetic field B = 0.3T
Velocity of the loop, v =1 cms-1
The rate of decrease of the magnetic field i.e.
The e.m.f developed in the rectangular loop is given as:
dФ is the change in the flux across the loop = AB
⇒
Or
Therefore, substituting the values in above equation, we get:
e = 16×10-4 m2× 0.02 Ts-1
⇒ e = 0.32 × 10-4V
The current induced in the loop can be calculated as follows:
i = e/r
i = (0.32 × 10 - 4)/1.6
⇒ i = 2 × 10 - 5A
The Power loss or dissipation can be calculated as follows:
P = i2R
Where, R is resistance = 1.6Ω
⇒ P = (2 × 10-5A)2 × 1.6Ω
⇒ P = 6.4×10-10 W
The source of the power is an external agent. This is due to change in the magnetic field with time.
Question 2.
A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s–1 in the positive x - direction in an environment containing a magnetic field in the positive z - direction. The field is neither uniform in space nor constant in time. It has a gradient of 10–3 T cm–1 along the negative x - direction (that is it increases by 10–3 T cm–1 as one moves in the negative x - direction), and it is decreasing in time at the rate of 10–3 T s–1. Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mW.
Answer:
Given: side of square loop = 12 cm
In metre, the side of square loop = 0.12m
Area of the square loop = 0.12 × 0.12 = 144 × 10 - 4m2
Velocity of the loop = 8 cms-1
In metre/s, the velocity of the loop, v= 0.08m/s
Since gradient of electric field is along negative x - direction
In Tm - 1,
∴ The rate of decrease of magnetic field in time is given as:
Resistance of the square loop = 4.50 mΩ =4.5 × 10 - 3Ω
Due to change in the motion of the square loop in presence of non - uniform magnetic field, the decrease in the magnetic flux is given as:
Due to explicit time variation in magnetic field, the rate of change of flux is given by:
Substituting values in above, we get
The total emf induced in the square loop is :
e =1.44 × 10–5 V+ 11.52× 10-5 V
e = 12.96 × 10-5 V
The induced current can be written as:
i =e/R
⇒
⇒ i = 2.88 × 10 - 2A
The current direction will be in the way that there will be increase in the flux along positive z direction.
Question 3.
It is desired to measure the magnitude of field between the poles of a powerful loud speaker magnet. A small flat search coil of area 2 cm2 with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region.
Equivalently, one can give it a quick 90° turn to bring its plane parallel to the field direction). The total charge flown in the coil (measured by a ballistic galvanometer connected to coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50. Estimate the field strength of magnet.
Answer:
Given: Area of small flat search coil = 2 cm2
Total number of turns in the coil n = 25
Total charge measured by the ballistic galvanometer = 7.5 mC=7.5 ×10-3C
combined resistance of the coil and the galvanometer R= 0.50
The current induced in the coil can be calculated as follows:
i = e/R
also,
substituting in the equation we get
⇒ …………..(i)
Initial flux through the coil, Ф1 = AB
Final flux through the coil, Ф2= 0
Integrating equation (i) on both sides, we get
Total charge
Therefore,
⇒ Q = (NBA)/R
Therefore, B = (QR)/NA
So, substituting all the values in above equation, We get
On solving, we get
B = 0.75 T
Question 4.
Figure 6.20 shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod = 15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0 mW. Assume the field to be uniform.
(a) Suppose K is open and the rod is moved with a speed of 12 cm s–1 in the direction shown. Give the polarity and magnitude of the induced emf.
(b) Is there an excess charge built up at the ends of the rods when K is open? What if K is closed?
(c) With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ even though they do experience magnetic force due to the motion of the rod. Explain.
(d) What is the retarding force on the rod when K is closed?
(e) How much power is required (by an external agent) to keep the rod moving at the same speed (=12cm s–1) when K is closed? How much power is required when K is open?
(f) How much power is dissipated as heat in the closed circuit? What is the source of this power?
(g) What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?
Answer:
Given: Length of the rod = 15 cm
Length of rod in metres l = 0.15 m
Magnetic field strength B = 0.50 T
Resistance of the loop R = 9 mΩ = 9 × 10 - 3 Ω
Emf induced in the loop = 9 mV
Speed of the rod, v= 12 cm/s
Speed of the rod in m/s, v= 0.12m/s
It is shown as below:
(a) Induced emf can be calculated as follows:
e = Bvl
e = 0.50T× 0.12ms-1× 0.15m
e = 9× 10-3V = 9mV
The polarity of the induced emf is such that the end P is positive and end Q is negative.
(b) Yes, there is an excess charge built up at the ends of the rods when K is open. When K is closed, the excess charge present will be maintained by the flow of current continuously.
(c) The net force on the rod PQ is zero still they experience magnetic force due to motion of the rod magnetic force is cancelled by the electric force set up. This happens because of the excess charge on both the opposite ends of the rod.
(d) The retarding force acting on the rod when K is closed can be calculated as follows:
F = iBl……………(i)
Where i= induced emf(e)/Resistance (RΩ)
I = 9mV/9×10-3Ω
I= 1A
Substituting the values in equation (i), we get
F = 1A× 0.50T× 0.15m
F = 75×10-3 N
(e) Power required when K is closed:
Power = Fv
P = 75×10-3 N× 0.12ms-1
P = 9×10 - 3 W
Power = 9 mW
When key K is open, there is no power required.
(f) Power dissipated H = I2R
H = 1A 2× 9×10-3Ω = 9 mW
9mW power is dissipated as heat in the closed circuit and the source of this power is external agent.
(g) The induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular is zero because the motion of the rod doesn’t cross across the lines and therefore induced emf will be zero.
Question 5.
An air - cored solenoid with length 30 cm, area of cross - section 25 cm2 and number of turns 500, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10–3 s. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.
Answer:
Given: Length of the solenoid = 30 cm=0.30 m
Area of cross - section = 25 cm2 = 25m× 10-4m-2
No. of turns in the solenoid = 500
Current, i = 2.5A
Time for which the current flows t = 10–3 s
The average back emf induced across the ends of the open switch in the circuit is as follows:
………………(i)
where dФ is the change in the flux and is equal to NAB
B is the magnetic field = (μ0Ni)/l
Substituting in equation (i), we get
Substituting the values in above equation , we get
On solving, we get
e = 6.5 V
∴ the emf induced in the solenoid is 6.5V
Question 6.
Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Fig. 6.21.
Answer:
Let a small element dy in the loop at a distance of y as shown in the given figure:
Magnetic field associated with the the element taken i.e. dy can be calculated as follows:
dФ = BdA ………………..(i)
where dA is the area of the element dy i.e. ady
B is the magnetic field intensity of the element dy at a distance of y and can be written as:
Putting in the equation (i)
Putting limits of y from x to a + x
Mutual conductance is given by the relation:
Ф = MI
Where MI =
Or M =
Question 7.
Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, v = 10 m/s.
Calculate the induced emf in the loop at the instant when x = 0.2 m.
Take a = 0.1 m and assume that the loop has a large resistance.
Answer:
The emf induced in the coil is given as:
e = B’ av
e =
substituting the given values in above relation, we get
e =
On calculating, we get
e = 5 × 10-5V
Question 8.
A line charge λ per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non - conducting spokes and is free to rotate without friction about its axis (Fig. 6.22). A uniform magnetic field extends over a circular region within the rim. It is given by,
B = – B0 k (r ≤ a; a < R)
= 0 (otherwise)
What is the angular velocity of the wheel after the field is suddenly switched off?
Answer:
Line charge per unit length is given by the following relation:
Total charge/ length = Q/2Ï€ r
Where r is the distance of the point within the wheel
Let m and R are mass and radius of the wheel
Magnetic field is given by the following relation:
The magnetic force at balanced by the centripetal force at a distance of r
i.e. BQv = mv2/r
v is the linear velocity of the wheel and is equal to v= 2π rλ
⇒ B × 2Ï€ rλ = mv/r
Or
As we know that angular velocity is given as: ω = v/r
⇒ w =
When R> a and r ≤ a
ω =