Question

A dielectric slab is inserted 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

• Q' may be large than Q.

• Q' must be larger than Q.

• Q' must be equal to Q.

• Q' must be smaller than Q.

Answer 1

Q' must be smaller than Q

The relation between the induced charge Q' and the charge on the capacitor Q is given by `Q^' = Q(1-1/K)`

Here, K is the dielectric constant that is always greater than or equal to 1.
So, we can see that for K > 1, Q' will always be less than Q.