Question

When the space between the plates of a parallel plate condenser is filled with two dielectric slabs
same thickness and each slab having area equal to half the area of each plate of the condenser, the
capacity increases by 400%. If the dielectric constant of one slab is 8, that of the other slab is?

Answer 1

Answer:

This combination can be assumed to be a combination of two parallel plates capacitors connected in series with capacity

d

2K

1

ϵ

0

A

and

d

2K

2

ϵ

0

A

.

In series, the resultant capacitance is

(K

1

+K

2

)d

2K

1

K

2

ϵ

0

A

.

Thus resulatant dielectric constant is

K

1

+K

2

2K

1

K

2

.