Question

a long cylindrical volume contains a uniformly distributed charge of density p.Find the electric field at a point P inside the cylindrical volume at a distance x from its axis

Answer 1

The electric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.