A small loop of wire (radius a) is held a distance z above the center of a large loop (radius b), as...

Question

A small loop of wire (radius a) is held a distance z above the center of a large loop (radius b), as shown in Fig XXXXXXXXXXThe planes of the two loops are parallel, and perpendicular to the common axis.

(a) Suppose current I flows in the big loop. Find the flux through the little loop. (The little loop is so small that you may consider the field of the big loop to be essentially constant.)

(b) Suppose current I flows in the little loop. Find the flux through the big loop. (The little loop is so small that you may treat it as a magnetic dipole.)

(c) Find the mutual inductances, and confirm that M₁₂ = M₂₁·

David · Accepted Answer

Solution:- 
Below figure show the arrangement of the small loop of radius a and large loop of radius b.
Here, z is the height of the center of the small loop from the centre of the large loop and
(a.) The Z component of the field produced by the loop of the radius b is as follows.

A small loop of wire (radius a) is held a distance z above the center of a large loop (radius b), as shown in Fig XXXXXXXXXXThe planes of the two loops are parallel, and perpendicular to the common...

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