A piece of wire of resistance ' $R$ ' is cut lengthwise into three identical parts. These parts are

Question

A piece of wire of resistance ' $R$ ' is cut lengthwise into three identical parts. These parts are then connected in parallel. If the equivalent resistance of this combination is ' $R$ ', then the value of $R / R^{\prime}$ is\

Professor PC Thomas Classes · Answer

(d): Resistance of each part is\ $R_{1}=\frac{R}{3}$\ For parallel combination\ $R_{p}=\frac{R / 3}{3}=\frac{R}{9}=R^{\prime}$\ \ $	herefore \frac{R}{R^{\prime}}=\frac{R}{R / 9}=9$\