(a).Define the law of electrostatics in integral form that is used to compute the electrostatic field E due to a symmetric distribution of charge within a given volume. State the meaning of the terms in the defining equation.

 (b). A uniformly charged long cylinder of radius a and length L has total charge q inside its volume. What is the direction of the electric field at points outside the cylinder? Find the electric field inside and outside the cylinder.

 (c). Total charge q is distributed along a line of length L. Determine the electric field produced by the wire using Gauss’s law. Compare this result with the result in part (b).