An electric generator comprises a square wire loop of side 80 cm. The loop has 50 turns and is placed in a magnetic field of 0.5 T. By what frequency should this loop be rotated in the magnetic field to produce an AC voltage of peak value 250 V?

To calculate the frequency at which the loop should be rotated in the magnetic field to produce an AC voltage of peak value 250 V, we can use Faraday's law of electromagnetic induction.

Faraday's law states that the induced electromotive force (EMF) in a closed loop is equal to the rate of change of magnetic flux through the loop. Mathematically, it is given by:

\[ \text{EMF} = -N \frac{\Delta \Phi}{\Delta t} \]

Where:
- EMF is the induced electromotive force (voltage) in volts (V).
- N is the number of turns in the loop.
- ΔΦ is the change in magnetic flux through the loop in webers (Wb).
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