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MHT CET 2026 (11 Apr, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2026 (11 Apr, Shift 2)

Q7MHT CET 2026 · 11 APR · SHIFT 2Medium

Combination of Capacitors

Initially, 'n' identical capacitors are joined in parallel, are charged to potential 'V'. Now they are separated and joined in series. Then

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Answer: (c)

  1. Each capacitor gets q=CVq = CV; initial energy Ui=12(nC)V2U_i = \frac{1}{2}(nC)V^2.
  2. In series the voltages add: V′=nVV' = nV.
  3. Cs=CnC_s = \frac{C}{n}, so Uf=12⋅Cn(nV)2=12nCV2=UiU_f = \frac{1}{2}\cdot\frac{C}{n}(nV)^2 = \frac{1}{2}nCV^2 = U_i.
  4. So the answer is (c) p.d. becomes nVnV and energy remains the same.
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