Show that work done in moving an electric charge is independent of the path followed?

Show that the line integral of electric field is independent of the path followed?

Show that the work done in displacing an electric charge in an electric field is given by the product of magnitude of the charge and the line integral of electric field. W = q_0oversetB undersetA int vecE.vecdl

Show that the work done in moving a unit charge along a closed path is zero.

The work done in moving a positive charge on an equipotential surface is:

Show that the line integral of electric field ntensity between any two points depends only on the position of these points and its independent of the path followed between these points.

An electric charge enters in electric field at right angles to the direction of electric field. What is the nature of the path followed?

An electric charge enters in electric field at right angles to the direction of electric field.What is the nature of the path followed ?