Show that the electric field at the surface of a charged conductor is given bu`vecE = sigma/epsilon_0 hatn`, where `sigma` is the surface charge density and `hatn` is a unit vector normal to the surface in the outward direction.

What is the SI unit of surface charge density ?

Show that the potential is constant within and at the surface of a charged conductor.

Show that charge always resides on the outer surface of a conductor.

Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_2 - E_1) hatn= (sigma)/(epsilon_0) where hatn is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of hat n is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is sigma hatn // epsilon_0

Show that total electric flux over a closed surface due to charge outside the surface is zero?

Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by (E_2 - E_1) hatn= (sigma)/(epsilon_0) where n is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of hatn is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is sigma hatn // epsilon_0 . Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

Show that electric field everywhere is normal to the equipotential surface.