In the given circuit, with steady current, the potential drop across the capacitor must be

Options

A. V
B. `V//2`
C. `V//3`
D. `2 V//3`

Answer

C

Explanation

In the steady state, no current will flow through the capacitor.

The current in the circuit `I=(2V-V)/(2R+ R)=(V)/(3R)`
P.D. across `2 R=(V)/(3R)xx2R=(2)/(3)V`
`therefore " P.D. across " AB=2- (2)/(3)V=(4)/(3)V`
`therefore " P.D. across " C=(4)/(3) V-V=(V)/(3)`