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← JEE Main 2026 · 5 Apr · Shift 2
PhysicsSingle correct+4 / -1Question 37 of 75

JEE Main 2026 · 5 Apr · Shift 2, Physics question 37

Under steady state condition the potential difference across the capacitor in the circuit is ________ V.

Three parallel branches between a left and a right vertical wire: top, a 2 Ω resistor; middle, a 2 μF capacitor in series with 4 Ω; bottom, a 2 V cell in series with 6 Ω.
Choose one option
Answer and worked solution

Official answer: A

Steady state. No current flows in the capacitor branch. The 2 V cell drives current around the loop formed by its own branch (6 Ω) and the 2 Ω branch:
I=26+2=0.25 A.I=\frac2{6+2}=0.25\text{ A}.

Capacitor voltage. The capacitor branch (with its 4 Ω, carrying no current) is connected across the same two wires as the 2 Ω resistor:
VC=0.25×2=0.5 V.V_C=0.25\times2=0.5\text{ V}.

(A)