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MHT CET 2025 (26 Apr, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2025 (26 Apr, Shift 1)

Q24MHT CET 2025 · 26 APR · SHIFT 1Medium

Combination of Capacitors

Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors C3C_3 and C1C_1 is

Figure

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Answer: (d)

  1. The lower element in parallel with C3C_3 is the battery, so C3C_3 is directly across VV: Q3=3CVQ_3 = 3CV.
  2. C1C_1 and C2C_2 are in series across the same VV: Cs=1⋅21+2C=2C3C_s = \frac{1\cdot 2}{1+2}C = \frac{2C}{3}, so Q1=2CV3Q_1 = \frac{2CV}{3}.
  3. Q3Q1=3CV2CV/3=4.5\frac{Q_3}{Q_1} = \frac{3CV}{2CV/3} = 4.5
  4. So the answer is (d) 4.5.
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