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JEE Main 2023 (8 Apr, Shift 2) · Charge Sharing & Loss of Energy

Charge Sharing & Loss of Energy question from JEE Main 2023 (8 Apr, Shift 2)

Q15JEE Main 2023 · 8 APR · SHIFT 2Easy

Charge Sharing & Loss of Energy

A 600 pF600\text{ pF} capacitor is charged by 200 V200\text{ V} supply. It is then disconnected from the supply and is connected to another uncharged 600 pF600\text{ pF} capacitor. Electrostatic energy lost in the process is ____________ μJ\mu\text{J}

Numerical answer type. Work it out, then open the answer.

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Answer: 6

  1. For two equal capacitors, loss =14CV2= \frac{1}{4}CV^2.
  2. ΔU=14×600×10−12×2002=6×10−6\Delta U = \frac{1}{4} \times 600 \times 10^{-12} \times 200^2 = 6 \times 10^{-6} J
  3. Energy lost =6 μ= 6\ \muJ
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