A parallel plate capacitor is permanently connected across a battery of voltage . If the distance between the plates is doubled while keeping the battery connected, which of the following statements is correct?

Answer and explanation

Correct answer: C. The electric field between plates is halved and the stored energy is halved

  1. Step 1: Since the battery remains connected, the potential difference across the plates is held strictly constant.
  2. Step 2: As separation doubles to , capacitance is halved: .
  3. Step 3: The electric field is halved (), and the stored energy is halved.
Answer
The electric field between plates is halved and the stored energy is halved.
Why not the others: The capacitance halves (not doubles); The charge is halved, not constant; Stored energy is halved, not constant.

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