Question

Two switches are shown in above figure $S_1$, which can connect to point $X$, and $S_2$, which can connect to point $Y$.
If switch $S_1$ is left open but switch $S_2$ is connected to point $Y$, Calculate the current through the resistor $R$?

• A. $\frac{V_2}{3R}$
• B. $\frac{V_2}{R}$
• C. $\frac{3V_2}{2R}$
• D. $\frac{V_1+V_2}{3R}$
• E. $\frac{V_1-V_2}{R}$

Answer 1

The correct option is A $\frac{V_2}{3R}$

The figure shows that the switch $S_2$ is closed whereas $S_1$ is open.

Let the current in the loop ABCD be $I$.

Using kirchhoff's loop law in loop ABCD : $-V_2+I\left(2R\right)+IR=0$

$⟹$ $I=\frac{V_2}{3R}$