Combination of Resistors – Parallel

In parallel combination of two resistors, the charge that flows in at A from the left flows out partly through R₁ and partly through R₂. The currents I, I₁, I₂ shown in the figure are the rates of flow of

Charge at the points indicated. Hence,

The potential difference between A and B is given by the Ohm’s law applied to R_1, V = I₁ R₁. Also, Ohm’s law applied to R₂ gives V = I₂ R₂ 

 If the combination was replaced by an equivalent resistance R_eq, by Ohm’s law