Suppose that you wish to construct a simple ac generator having an output of 12 v maximum when rotated at 60 hz. a uniform magnetic field of 0.050 t is available. if the area of the rotating coil is 100 cm2, how many turns do you need?

You need 63.66 turns.

Explanation:

The number of turns of a magnetic field is given by the following formula:

In which N is the number of turns, V is the maximum output voltage, S is the area of the rotating coil, in square meters and T is the measure of the magnetic field and f is the frequency.

In this problem, we have that:

Suppose that you wish to construct a simple ac generator having an output of 12 V maximum when rotated at 60 Hz. This means that and .

A uniform magnetic field of 0.050 T is available. This means that .

If the area of the rotating coil is 100 cm2, how many turns do you need?

This means that m². So:

You need 63.66 turns.