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

Question

In the given circuit, with steady current, the potential difference across the capacitor must be (A) V (B) V/2 (C) V/3 (D) 2V/3

Tardigrade Admin · Accepted Answer

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

C

. Current in the outer circuit,

i = \frac{2 V - V}{2 R + R} = \frac{V}{3 R}

Potential difference between

A

and

B

V_{A} - V + V + i R = V_{B}

∴ V_{B} - V_{A} = i R = (\frac{V}{3 R}) R = \frac{V}{3}

NOTE In this problem charge stored in the capacitor can also be
asked, which is equal to

q = C \frac{V}{3}

with positive charge on

B

side and
negative on

A

side because

V_{B} > V_{A} .

Q. In the given circuit, with steady current, the potential difference across the capacitor must be