Show that the tangential component ofelectrostatic field is continuous from one side ofa charged surface to another. also show that normal component of electrostatic field has discontinuity from one side of charged surface to anoth

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(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.]

Q. a)Show that the normal component of electrostatic field has adiscontinuity from one side of a charged surface to anothergiven by (E2-E1).^n=σ/ϵwhere ˆn is a unit vector normal to the surface at a point ands is the surface charge density at that point. (The direction ofˆnis from side 1 to side 2.) Hence, show that just outside aconductor, the electric field is s ˆn /e0.b) Show that the tangential component of electrostatic field iscontinuous from one side of a charged surface to another. [Hint:For (a), use Gauss’s law. For, (b) use the fact that work done byelectrostatic field on a closed loop is zero.]

Q. Assertion :The electrostatic force on a charged particle located on an equipotential surface is zero. Reason: