A conducting loop of area `5.0 cm^2` is placed in a magnetic field which varies sinusoidally with time as `B = B_0 sin omegat` where `B_0` = 0.20 T and `omega = 300 s^(-1)`. The normal to the coil makes an angle of `60^@` with the field. Find (a) the maximum emf induced in the coil, (b) the emf induced at `t = (pi/900)s` and (c) the emf induced at ` t = (pi/600)s`.

Explanation

To solve the problem step by step, we will follow the concepts of electromagnetic induction, particularly Faraday's law of induction and the calculation of magnetic flux.

### Given Data:
- Area of the coil, \( A = 5.0 \, \text{cm}^2 = 5.0 \times 10^{-4} \, \text{m}^2 \)
- Magnetic field, \( B(t) = B_0 \sin(\omega t) \)
- \( B_0 = 0.20 \, \text{T} \)
- \( \omega = 300 \, \text{s}^{-1} \)
- Angle between the normal to the coil and the magnetic field, \( \theta = 60^\circ \)
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