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Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors

A dielectric slab is introduced between the plates of a capacitor. The charge on the capacitor is Q , and the magnitude of the induced charge on each surface of the dielectric is Q' .

Options

  1. AQ' must be less than Q
  2. BQ' must be equal to Q
  3. CQ' may be greater than Q
  4. DQ' must be greater than Q

Correct answer

A. Q' must be less than Q

Step-by-step solution

The induced charge Q' on the surface of a dielectric slab placed between the plates of a capacitor having charge Q is given by the relation: Q' = Q (1 - 1 K ) where K is the dielectric constant of the material of the slab. For any dielectric material, the dielectric constant K > 1 . Therefore, 0 This implies that Q' Thus, the magnitude of the induced charge Q' must be less than the charge Q on the capacitor plates.

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