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Show that the normal component of electr...

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.

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