A Use The Analogy Between Faradays Law And Amperes Law

(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.

(a) Use the analogy between Faraday's law and Ampere's law,

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