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
- AEqual and opposite charges will emerge on the two faces of the metal sheet.
- BThe capacitance will increase.
- CThe battery will provide additional charge.
- 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