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

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.

Science   Advanced-Physics   
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