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A closed coil having 50 turns is rotated...

A closed coil having 50 turns is rotated in a uniform magnetic field `B=2xx10^(-4) T` about a diameter which is perpendicular to the field. The angular velocity of rotation is 300 revolutions per minute. The area of the coil is 100 `cm^(2)` and its resistance is `4 Omega`. Find (a) the average emf developed in half a turn from a position where the coil is perpendicular ot the magnetic field, (b) the average emf in full turn, (c) the net charge flown in part (a) and (d) the emf induced as a function of time if it is zero at t=0 and is increasing in positive direction. (e) the maximum emf induced. (f) the average of the square of emf inducd over a long period

Text Solution

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The correct Answer is:
(a) ` 2.0xx10^(-3) V` (b) zero (c ) `50 muC` (d) `pixx10^(-3)sin(10 pi t)` ( e) `pimV` (f) `(pi^(2))/(2)xx10^(-6)V`
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