Continuous Charge Distribution: Consider a uniformly charged ring having a radius of R and a total charge of q_ring.
(a) What is the linear charge density λ of the ring? Express your answer in terms of R and q_ring.
(b) What are (i) the net electric field E (use i, j), (ii) the net electric potential V, at P due to the entire ring? Use symmetry wherever possible, and evaluate your final integrals. Express your answer in terms of R, q_ring, and x.
(c) Verify that Ex = -dV/dx.