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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.] |
| Answer» 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.] | |