Q3 Consider a uniformly charged infinite line lying along the z axis in a 3D space.Assume uniform charge density p and use Figure 3 as a guide. Hence or otherwise,

derive the expression for the electric field E at a generic point on the plane z = 0, and evaluate such expression in the limit for L → (INFINITY) Suggestions: Use symmetry arguments to simplify the problem. If required, check at the end of the paper the definition of gradient in cylindrical coordinate, and the table of derivatives.[5]