A 200-turn coil rotates in a magnetic field of magnitude 0.35 T at a frequency of 60 Hz. The area of the coil is 5.0 cm2. What is the maximum EMF in the coil

Emax = 13.209V

Explanation:

Given the following data;

Magnitude of the magnetic field, B = 0.35T

Number of turns, n = 200

Frequency, f = 60Hz

Area of the coil = 5cm² (to square meter = 5 *10^-4 = 0.0005m²)

Substituting into the above equation, we have;

Angular frequency, w = 377.04

We know that as the coil rotates between 0 and 1; sin(wt) would vary sinusoidally. Therefore, the maximum EMF occurs when the value of sin(wt) is equal to 1.

Mathematically, the maximum EMF is given by;

Where;

Emax is the maximum EMF. n is the number of turns. B is the magnitude of the magnetic field. A is the area of the coil. w is the angular frequency.

Substituting into the equation, we have;

Emax = 13.209V

Therefore, the maximum EMF in the coil is 13.209 volts.

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No it doesnt because it can be any number.