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. `2V//3`

Answer

C

Explanation

In steady state condition ,no current will flow through the capacitor C. current in the outer circuit,
`i=(2V-v)/(2R+R)=V/(3R)`
Potential difference between A and B
`V_A-V-V-iR=V_B`
`V_B-V_A=iR=(v/(3R))R=V/3`Note: In this problem charged stored in the capacitor can also be asked, which is equal to `q=cV/3` with possitive charge on b sides and negative on A side because `V_Bgt V_A`