OMTEX CLASSES: Resistance connected in parallel

Resistance connected in parallel

Resistors connected in parallel: If the numbers of resistance are connected between two common points, such that the potential difference across each resistance is the same, then the arrangement is called resistance in parallel.

Three resistances R1, R2 and R3 are connected in parallel between the points A and B. Let Rp be the effective resistance in the circuit.

                A Cell E, Key K and the ammeters A are also connected with resistances.

                Let the current passing through R1 be I1, R2 be I2, and R3 be I and that of R be I.

Conclusion:  If the resistors are connected in parallel then:
i.                    The sum of reciprocals of the individual resistance is equal to the reciprocal of equivalent resistance.
ii.                  The current in various resistors are inversely proportional to the resistances (higher is the resistance lower is the current through it). However the total current is the sum of the currents flowing in the different branches.
iii.                The voltage (Potential difference) across each resistors is same.
iv.                The effective resistance of the parallel combination is less than the individual resistance in the combination.

v.                  This combination is used to decrease resistance in the circuit.