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MHT CET 2025 (23 Apr, Shift 2) · Charge Sharing & Loss of Energy

Charge Sharing & Loss of Energy question from MHT CET 2025 (23 Apr, Shift 2)

Q7MHT CET 2025 · 23 APR · SHIFT 2Easy

Charge Sharing & Loss of Energy

Two capacitors of 100 μF100\ \mu\text{F} and 50 μF50\ \mu\text{F} are connected in parallel. If the potential difference across 100 μF100\ \mu\text{F} is 20 V and across 50 μF50\ \mu\text{F} is 40 V, then the common potential of the parallel combination will be (same polarities of the capacitor connected together)

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Answer: (d)

  1. V=C1V1+C2V2C1+C2V = \frac{C_1V_1 + C_2V_2}{C_1 + C_2}
  2. V=100×20+50×40150=4000150=803 VV = \frac{100 \times 20 + 50 \times 40}{150} = \frac{4000}{150} = \frac{80}{3}\ \text{V}
  3. So the answer is (d) 803\frac{80}{3} V.
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