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JEE Main 2022 (27 Jul, Shift 2) · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from JEE Main 2022 (27 Jul, Shift 2)

Q24JEE Main 2022 · 27 JUL · SHIFT 2Medium

Capacitors in DC Circuits & RC

As shown in the figure, in steady state, the charge stored in the capacitor is ____________ ×10−6\times 10^{-6} C.

Figure

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

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Answer: 10

  1. Steady state: no current in the CC–R′R' branch; I=1010+100=111 AI = \dfrac{10}{10+100} = \dfrac{1}{11}\text{ A}.
  2. Capacitor is across RR: V=10011 VV = \dfrac{100}{11}\text{ V} (no drop on R′R').
  3. Q=1.1×10−6×10011=10×10−6 CQ = 1.1\times10^{-6}\times\dfrac{100}{11} = 10\times10^{-6}\text{ C}
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