An electric generator consists of a circular coil of wire of radius 4.0×10−2 m , with 20 turns. the coil is located between the poles of a permanent magnet in a uniform magnetic field, of magnitude 5.0×10−2 t . the b field is orientated perpendicular to the axis of rotation. the ends of the coil are connected via sliding contacts across a resistor of resistance 1.5 ω. the peak current measured through the resistor is 3.0×10−3 a. what is the angular frequency ω at which the coil is rotating? in rad/s to two sig figs.

The angular frequency at which the coil is rotating is 17.9rad/s

Explanation:

To solve the exercise it is necessary to take into account the concepts related to the magnetic field in a wire, Farada's law and Ohm's Law.

The rotational induced voltage is defined by

Where,

N = Number of loops

A = Cross-sectional area

angular velocity

B = Magnetic Field

For Ohm's law we have,

V = IR

Where,

I= Current

V = Voltage

R = Resistance

Equation both equations,

Our values are given as,

N = 20

Replacing the values we have,

Therefore the angular frequency at which the coil is rotating is 17.9rad/s

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