First slide

Capacitance

Question

The plates in a parallel plates capacitor are separated by a distance d with air as the medium between the plates. In order to increase the capacity by 66% a dielectric slab of thickness 3d/5 is introduced between the plates. What is the dielectric constant of the dielectric slab?

Moderate

A

5
B

3
C

1.66
D

1.5

Solution

$Capacity in air C = \frac{ε_{0} A}{d}$
$C^{'} = \frac{ε_{0} A}{(d - t) + \frac{t}{k}} t = \frac{3 d}{5}$
$Given C^{'} = \frac{166}{100} C$
$\frac{100}{166} = \frac{(d - t) + \frac{t}{K}}{d}$
On putting values
K = 3

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App