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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

A parallel-plate capacitor is attached to a battery. A metal sheet of negligible thickness is introduced between the plates, remaining parallel to the plates of the capacitor.

Options

  1. AEqual and opposite charges will emerge on the two faces of the metal sheet.
  2. BThe capacitance will increase.
  3. CThe battery will provide additional charge.
  4. DThe potential difference across the plates will increase.

Correct answer

A. Equal and opposite charges will emerge on the two faces of the metal sheet.

Step-by-step solution

When a metal sheet of thickness t is introduced between the plates of a parallel-plate capacitor, the new capacitance is given by C' = ₀ A d - t . Since the thickness of the metal sheet is negligible ( t 0 ), the capacitance remains unchanged ( C' = C ). As the capacitor remains connected to the battery, the potential difference V across the plates is constant. Because both C and V are unchanged, the charge on the capacitor Q = CV also remains constant. Thus, the battery does not provide any additional charge. The

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