First slide

Pontial due to

Question

A point charge Q is placed inside a conducting spherical shell of inner radius 3R and outer radius 5R at a distance R from the centre of the shell. The electric potential at the centre of the shell will be.

Moderate

A

$\frac{1}{4 {πε}_{0}} . \frac{Q}{R}$
B

$\frac{1}{4 {πε}_{0}} . \frac{5 Q}{6 R}$
C

$\frac{1}{4 {πε}_{0}} . \frac{13 Q}{15 R}$
D

$\frac{1}{4 {πε}_{0}} . \frac{7 Q}{9 R}$

Solution

$\begin{array}{rcl} V_{net} & = & \frac{Q}{4 {πε}_{0}} [\frac{1}{r} - \frac{1}{a} + \frac{1}{b}] \\ V_{net} & = & \frac{Q}{4 {πε}_{0}} [\frac{1}{R} - \frac{1}{3 R} + \frac{1}{5 R}] \\ V_{net} & = & \frac{1}{4 {πε}_{0}} [\frac{13 Q}{15 R}] \end{array}$

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