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(a) Explain the meaning of the term mutu...

`(a)` Explain the meaning of the term mutual inductance. Consider two concentric circular coils, one radius `r_(1)` and the other of radius `r_(2)(r_(1) lt r_(2))` placed coaxially with centres coinciding with each other. Obtain the expression for the mutual inductance of the arrangement.
`(b)` A rectangular coil of area `A`, having number of turns `N` is rotated at `'f'` revoluation per second in a uniform magnetic field `B`, the field being perpendicular to the coil. Prove that maximum emf induced in the coil is `2pifNBA`.

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