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MHT CET 2023 (10 May, Shift 2) · Energy Stored & Force between Plates

Energy Stored & Force between Plates question from MHT CET 2023 (10 May, Shift 2)

Q17MHT CET 2023 · 10 MAY · SHIFT 2Medium

Energy Stored & Force between Plates

If a capacitor of capacity 900 μF900\ \mu\text{F} is charged to 100 V100\text{ V} and its total energy is transferred to a capacitor of capacity 100 μF100\ \mu\text{F}, then its potential will be

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Answer: (c)

  1. U=12C1V12=12×900×10−6×1002=4.5 JU = \frac{1}{2}C_1V_1^2 = \frac{1}{2} \times 900 \times 10^{-6} \times 100^2 = 4.5\text{ J}
  2. Same energy in C2C_2: 12C2V22=4.5\frac{1}{2}C_2V_2^2 = 4.5
  3. V22=9100×10−6=9×104⇒V2=300 VV_2^2 = \frac{9}{100 \times 10^{-6}} = 9 \times 10^4 \Rightarrow V_2 = 300\text{ V}
  4. So the answer is (c) 300 V300\text{ V}.
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