In the above problem, if the coil rotates with a constant angular velocity `omega`, the emf induced in it

Options

A. (a) is zero
B. (b) changes non-linearly with time
C. (c ) has a constant value `= Banomega`
D. (d ) has a maximum value `= Banomega`

Answer

B, D

Explanation

(b,d):
if the normal to the plane of the coil makes an angle `theta` with the direction of `B`, the flux linked with the coil is
`phi = Ban cos theta`
`= Ban cos (omegat)`
`e.m.f. = e = (-dphi)/(dt) = Banomegasin(omegat)`