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MHT CET 2026 (17 Apr, Shift 1) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2026 (17 Apr, Shift 1)

Q9MHT CET 2026 · 17 APR · SHIFT 1Medium

Combination of Capacitors

Two capacitors, C1C_1 and C2C_2 have their capacitances in the ratio 1:2. VsV_s and VpV_p are the potential differences applied across the series and parallel combination of C1C_1 and C2C_2 respectively, so that the energy stored in the two cases becomes same. The ratio VsV_s to VpV_p is

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Answer: (b)

  1. Take C1=CC_1 = C, C2=2CC_2 = 2C: Cs=2C3C_s = \frac{2C}{3}, Cp=3CC_p = 3C.
  2. Equal energy: 12CsVs2=12CpVp2⇒Vs2Vp2=CpCs=92\frac{1}{2}C_sV_s^2 = \frac{1}{2}C_pV_p^2 \Rightarrow \frac{V_s^2}{V_p^2} = \frac{C_p}{C_s} = \frac{9}{2}.
  3. VsVp=32\frac{V_s}{V_p} = \frac{3}{\sqrt{2}}.
  4. So the answer is (b) 3:23 : \sqrt{2}.
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