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JEE Main 2024 (27 Jan, Shift 1) · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from JEE Main 2024 (27 Jan, Shift 1)

Q15JEE Main 2024 · 27 JAN · SHIFT 1Medium

Capacitors in DC Circuits & RC

The charge accumulated on the capacitor connected in the following circuit is _______ μC\mu\text{C} (Given C=150 μF)C=150\ \mu\text{F})

Figure

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

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Answer: 400

  1. Take the bottom node at 0 V and top at 10 V. Left arm: VA=10−10⋅11+2=203 VV_A = 10 - 10\cdot\dfrac{1}{1+2} = \dfrac{20}{3}\text{ V}.
  2. Right arm: VB=10−10⋅66+4=4 VV_B = 10 - 10\cdot\dfrac{6}{6+4} = 4\text{ V}.
  3. VAB=203−4=83 VV_{AB} = \dfrac{20}{3} - 4 = \dfrac{8}{3}\text{ V}
  4. Q=150×83=400 μCQ = 150\times\dfrac{8}{3} = 400\ \mu\text{C}
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