Consider a uniformly charged infinite line lying along the z axis in a 3D space.Assume uniform charge density p and use Figure Q2 as a guide.

\text { Evaluate the scalar potential in a point with coordinate }(r, \theta, z)= \left(r_{0}, \theta_{0}, 0\right) \text {. Consider } L<\infty 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→→∞.