Resistance in Parallel

The effective resistance of a circuit containing resistances in parallel is

State Ohm's law. Derive an expression for the equivalent resistance of a number of resistances in parallel.

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Two metallic wires A and B are connected in parallel. Wire A has length l and radius r, wire B has a length 2 l and radius 2r. Compute the ratio of the total resistance of parallel combination and the resistance of wire A.

In series, potential difference distributes in direct ratio of resistance and in parallel current is distributed in inverse ratio of resistance In the circuit shown in figure

The total resistance in the parallel combination of three resistances 9Omega, 7Omega and 5Omega

Three equal resistances each of 3Omega are in series and connected to a cell of internal resistance one ohm. If these resistance are in parallel and connected to the same cell, then the ratio of the respective currents through the electric circuits in the two cases is

In series, potential difference distributes in direct ratio of resistance and in parallel current is distributed in inverse ratio of resistance Ratio of current through R, 6R and 3R will be