A generator is made by putting a coil of wire into a fixed magnetic field and ro

Question

A generator is made by putting a coil of wire into a fixed magnetic field and rotating the coil. The maximum voltage that is produced depends on how rapidly the coil is rotated, and will be greatest at the moment the plane of the coil is perpendicular to the field. That maximum is given by N A B omega where N is the number of turns in the coil, A is the area of the coil, B is the field, and omega is the angular rate of rotation (radians/second) of the coil. A small generator for a bicycle might be needed to produce 12 V of output voltage from a 2x3 cm coil with 1000 turns of wire in a 0.6 T field. About how many rotations per second would be required to do that?

A. 5

B.1900

C.1

D.30

Explanation / Answer

V = NBAW

here , N = 1000 turns

B =magnetic field = 0.6 T

A = area = 2*3 cm^2 = 6 cm^2 = 6*10^-4 m^2

W = angular speed of rotation

So, V = 12 = 1000*0.6*6*10^-4*W

So, W = 33.33 rad/s = 33.33/(2*pi) rotations /s = 5.3 rotations/s <------ option A

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