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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

The distance between the plates of a charged parallel-plate capacitor is increased. Which of the following quantities will change?

Options

  1. AEnergy of the capacitor
  2. BPotential difference across the capacitor
  3. CCharge on the capacitor
  4. DEnergy density between the plates

Correct answer

B. Potential difference across the capacitor

Step-by-step solution

For an isolated charged capacitor, the charge Q on the plates remains constant. The capacitance of a parallel-plate capacitor is given by C = ₀ A d . As the distance d between the plates increases, the capacitance C decreases. The potential difference across the capacitor is V = Q C . Since Q is constant and C decreases, the potential difference V increases. The energy stored in the capacitor is U = Q^2 2C . Since C decreases, the energy U increases. The electric field between the plates is E = V d = Q A ₀ . Since

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