Question

A 11-turn generator coil with area 0.155 m^2 rotates in a 1.10 T magnetic field.

At what frequency should the coil rotate to produce a peak emf of 150?

Answer 1

Given that

Number of turns N = 11

Area A = 0.155 m^2

magnetic field B = 1.10 T

emf e= 150 V

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The formula for the induced emf is

             e = NBAω

The angular frequency is

              ω = e/(NBA)

                  = (155 V)/(( 11)( 1.10 T)(0.150 m^2))

                  = 85.40 rad/s

So frequncy is

            f = ω /(2π)

           = (85.40 rad/s)/(2π)

           = 13.59 Hz