Determine the electric field intensity at a point near a uniformly charged infinite plane lamina.

Find the electric field intensity at any point on the axis of a uniformly charged ring or loop.

Gauss.s theorem is useful in determining the elec tric field when the source distribution has symmetry. Br a) The electric field intensity at a distance .r. from a uniformly charged infinite plane sheet of charge is br br

Using Gauss's law, derive an expression for the electric field intensity at any point near a uniformly charged thin wire of charg e//l eng th = lambda C//m .

The expression for electric field intensity at a points outside uniformly charged thin plane sheet is (where, d is the distance of point from plane sheet)

Derive an expression for the strength of electric field intensity at a point on the axis of a uniformly charged circular coil of radius R carrying charge Q.

(a) Define electric flux. Write its S.I. units. (b) Using Gauss's law, prove that the electric field at a point due to a uniformly charged infinite plane sheet is independent of the distance from it. (c ) How is the field directed if (i) the sheet is positively charged, (ii) negatively charged ?