Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.

Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.

Answers (1)

In a closed equipotential surface, the potential changes from position to position.

The potential inside the surface is different from the potential gradient caused in the surface that is \frac{dV}{dr}

This also means that the electric field is not equal to zero and it is given as E=\frac{-dV}{dr}

Therefore, it could be said that the field lines are either pointing inwards or outwards the surface.

So, it can be said that the field lines originate from the charges inside which contradicts the original assumption. Therefore, the volume inside the surface must be equipotential.

Posted by

infoexpert23

View full answer

Similar Questions

Latest Question