Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_{

Question

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_{p}=1 \Omega$ as shown in the figure. An external resistance of $R_{e}=2 \Omega$ is connected via the sliding contact. The electric current in the circuit is\

Professor PC Thomas Classes · Answer

(b) : Here, $\frac{R_{p}}{2}$ and $R_{e}$ in parallel,\ So, $R^{\prime}=\frac{0.5 	imes 2}{0.5+2}=\frac{1}{2.5}$\ $R_{e q}=R^{\prime}+\frac{R_{p}}{2}=\frac{1}{2.5}+\frac{1}{2}=\frac{2+2.5}{5}$\ $R_{e q}=0.9 \Omega ; I=\frac{V}{R_{e q}}=\frac{0.9}{0.9}=1 \mathrm{~A}$\