2.
(a) Consider the system of a circular loop placed at a distance r from a long straight current carrying wire, which is in the plane of the loop. If the separation, r, is much larger than radius of the loop, derive an expression for the mutual inductance of the system. (12)
(b) Estimate the mutual inductance of the above system if r = 1 m and the loop radius is 1 cm. (5)
(c) What would be the mutual inductance if the straight wire is perpendicular to the plane of the loop? (3)
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