Question

Find equivalent Resistance

Answer 1

The equivalent resistance is $\frac{R}{3}$.

Answer 2

The circuit diagram shows three resistors, each of resistance $R$, connected in parallel between terminals A and B. For resistors connected in parallel, the reciprocal of the equivalent resistance ($R_{eq}$) is the sum of the reciprocals of individual resistances. $\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$ In this case, $R_1 = R_2 = R_3 = R$. $\frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R} + \frac{1}{R}$ $\frac{1}{R_{eq}} = \frac{3}{R}$ Taking the reciprocal of both sides, we get: $R_{eq} = \frac{R}{3}$