(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by
Where
is
a unit vector normal to the surface at a point and σ is the
surface charge density at that point. (The direction of
is
from side 1 to side 2.) Hence show that just outside a conductor, the
electric field is σ
(b) 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.]