Find E( R , t ), the electromotive force (EMF) around a loop that is at distance

Question

Find E(R,t), the electromotive force (EMF) around a loop that is at distance R from the z axis, where R is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive.

Express E(R,t) in terms of A, B0, B1, R, and any needed constants such as 0, , and 0.

Part B

Due to the cylindrical symmetry of this problem, the induced electric field E (R,t) can depend only on the distance R from the z axis, where R is restricted to the region outside the iron rod. Find this field.

Express E (R,t) in terms of quantities given in the introduction (and constants), using the unit vectors in the cylindrical coordinate system, ^, r^, and k^.

Explanation / Answer

Part A)   electromotive force (EMF) around a loop , E(R,t) = B1 * A

Part B)    E (R,t) in terms of quantities   =   (B1)(A)/(2pi R)

in the ^ direction

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