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
- AQ' must be less than Q
- BQ' must be equal to Q
- CQ' may be greater than Q
- 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.