Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

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

The direction of electrostatic field intensity at a point on the surface of a charged conductor is along the tangent drawn on the surface at that point . Is the statement true or false ?

A positive point charge (+q) is kept in the vicinity of an uncharged conduction plate. Sketch electric field line originating from the point on to the surface of the plate.

Determine the electric field at a distance r from a point charge.

Show that the intensity of the electric field at an external point due to a uniformly charged thin spherical shell is the same as if the whole charge were situated at its centre.

Show that electric field intensity is normal to equipotential surface.

With the help of Thales' theorem prove that the line drawn through mid-point of one side of a triangle parallel to another side bisects the third side.

Nowdays how people travel from one place to another?

A small test charge is released at rest at a point in an electrostatic field configuration . Will it travel along the field line passing through that point ?

Show that if some quantity of charge be given to one of two spherical conductors connected to each other, the surface densities of charge on them are inversely proportional to their radii.