First slide

Capacitance

Question

Two identical condensers M and N are connected in series with a battery. The space between the plates of 'M' is completely filled with dielectric medium of dielectric constant 8 and a copper plate of thickness d/2 is introduced between the plates of N. (d = distance of separation of the plates). Then the potentials of M and N are respectively.

Moderate

A

1 : 4
B

4 : 1
C

3 : 8
D

1 : 6

Solution

$C_{M} = {kC}_{0} = 8 C_{0}; C_{N} = \frac{{Aε}_{0}}{d - t} = \frac{{Aε}_{0}}{d - d / 2} = 2 C_{0}$
M, N are in series $\Rightarrow$ Q is same
$\frac{V_{M}}{V_{N}} = \frac{C_{N}}{C_{M}} = \frac{2 C_{0}}{8 C_{0}} = \frac{1}{4}$

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