Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
Net work done in carrying charge along closed loop by electric field is zero. Hence, the tangential component of the electric field is continuous from one side of a charged surface to the other.