(a) Use the analogy between Faraday’s law and Ampere’s law, together with the Biot-Savart law, to show that for Faraday-induced electric fields.
(b) Referring to Prob. 5.50a, show that where A is the vector potential. Check this result by taking the curl of both sides.
(c) A spherical shell of radius R carries a uniform surface charge a. It spins about a fixed axis at an angular velocity to (t) that changes slowly with time. Find the electric field inside and outside the sphere.