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A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitor is

  1. U/2
  2. 3U/2
  3. U
  4. U/4

Correct answer: U/2

Solution

When the second identical capacitor is connected in parallel, the total capacitance doubles, and the charge redistributes equally between the two capacitors. Since energy is proportional to the square of the charge, the energy in each capacitor becomes U/2.

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