14 A rectangular coil with sides 0140 m by 0260 m has 513 tu

14

A rectangular coil with sides 0.140 m by 0.260 m has 513 turns of wire. It is rotated about its long axis in a uniform magnetic field of 0.540 T that is perpendicular to the long axis. At what frequency, in complete cycles per second, must the coil be rotated for it to generate a maximum voltage of 115 V? f =

Solution

Area, A = 0.14*0.26 m2

N = 513

B = 0.54 T

Let the frequency of operation be f

For a generator, the maximum voltage across it is given by :

V = NBAW

where

W = angular frequency = 2*pi*f

So, V = NBA*(2*pi*f)

So, 115 = 513*0.54*(0.14*0.26)*(2*pi*f)

So, f = 1.82 Hz <---------answer