In the circuit shown, the energy stored in the capacitor is n. The value of n is __________ Numerical answer type. Work it out, then open the answer.

Answer: 75. Top at 12 V, bottom at 0. Left arm ( 3 Ω, 9 Ω): VL = 12 - 12·3/12 = 9 V. Right arm ( 4 Ω, 2 Ω): VR = 12 - 12·4/6 = 4 V. VC = 9-4 = 5 V U = 1/2(6)(5)² = 75, so n = 75.

In the circuit shown, the energy stored in the capacitor is n. The… | JEE Main 2023 (13 Apr, Shift 2)

Q21JEE Main 2023 · 13 APR · SHIFT 2Medium

Capacitors in DC Circuits & RC

In the circuit shown, the energy stored in the capacitor is $n\ \mu\text{J}$ . The value of $n$ is __________

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 75

Top at 12 V, bottom at 0. Left arm ( $3\ \Omega$ , $9\ \Omega$ ): $V_L = 12 - 12\cdot\dfrac{3}{12} = 9\text{ V}$ .
Right arm ( $4\ \Omega$ , $2\ \Omega$ ): $V_R = 12 - 12\cdot\dfrac{4}{6} = 4\text{ V}$ .
$V_C = 9-4 = 5\text{ V}$
$U = \dfrac{1}{2}(6)(5)^2 = 75\ \mu\text{J}$ , so $n = 75$ .

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