The charge accumulated on the capacitor connected in the following circuit is ______ $\mu \mathrm{C}$ (Given $\mathrm{C}=150 \mu \mathrm{~F}$)

JEE Main · 2024 · 27 Jan 2024 · Shift 1 · Current Electricity

The charge accumulated on the capacitor connected in the following circuit is ______

μ C

(Given

C = 150 μ F

)

Answer: 400

Solution

In steady state no current flows through the capacitor branch, so the loop current is fixed by the resistors alone. Applying Kirchhoff's voltage law across the diagonal carrying the capacitor gives a potential difference of

\frac{8}{3}

V between its terminals. The stored charge is

Q = C Δ V = 150 \times \frac{8}{3} = 400 μ C

JEE Main · 2024 · 27 Jan 2024 · Shift 1 · Integer answer

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