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MHT CET 2026 (15 Apr, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2026 (15 Apr, Shift 1)

Q15MHT CET 2026 · 15 APR · SHIFT 1Medium

Combination of Capacitors

Four capacitors are connected to a battery as shown in figure. The ratio of charges on capacitors C2C_2 and C4C_4 is

Figure

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Answer: (b)

  1. C4=4CC_4 = 4C is directly across VV: Q4=4CVQ_4 = 4CV.
  2. C3,C2,C1C_3, C_2, C_1 (3C,2C,C3C, 2C, C) are in series across VV: 1Cs=13C+12C+1C=116C⇒Cs=6C11\frac{1}{C_s} = \frac{1}{3C} + \frac{1}{2C} + \frac{1}{C} = \frac{11}{6C} \Rightarrow C_s = \frac{6C}{11}.
  3. Q2=6CV11Q_2 = \frac{6CV}{11}.
  4. Q2Q4=6/114=322\frac{Q_2}{Q_4} = \frac{6/11}{4} = \frac{3}{22}. So the answer is (b).
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