Question

Two closely wound circular coils with centers on a common axis have ?1and ?2 turns, and radii? and ?, respectively.

The coils are separated by a distance ?, which is assumed to be
much larger than both radii. (? ≫ ?, ?).

(a) Assuming a current ?1

in coil 1, obtain vector potential ?⃗1at an arbitrary point on coil
2.

(Hint : Use results of a magnetic dipole)

(b) Find the total flux linkage Λ12 at the coil 2

(c) Find the mutual inductance between the coils.

Answer #1

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