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

Question

Part A

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.

E(R,t)=______

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^.

E? (R,t)=_____

Explanation / Answer

the electromotive force (EMF) around a loop is expressed as,

E(R,t) = -B1A

Here, B1 is field sttrength and A is the area.

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The emf in cylindrical coordinate system is,

E (R,t) = -[B1A / 2R]^

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