An athlete peddles a stationary tricycle whose pedals are atteached to a coil having 100 turns each of area `0.1 m^(2)`. The coil lying in XY plane is rotated in this plane at the rate of 50 rpm about the Y=axis in a region where a uniform magnetic field `vec B = (0.01) hat k` tesla is present. Find the (i) max. e.m.f. (ii) average e.m.f. generated in the coil over one complete rotation.

Explanation

Here, `N = 100, A = 0.1 m^(2)`,
`v = 50` rpm `= (5)/(6)` rps
`vec B = (0.01) hat k T`, i.e., `B = 0.1 T` along z-axis.
`e_(0) = NAB omega = 100 xx 0.1 xx 0.01 xx 2 pi xx (5)/(6)`
`= 0.52 V`
(ii) As the e.m.f. generated varies sinusoidally with time, so the average e.m.f. generated in the coil over one complete revolution is zero.