Question

A rectangular coil with sides 0.150 m by 0.250 m has 487 turns of wire. It is rotated about its long axis in a magnetic field of 0.570 T. At what frequency, in complete cycles per second, must the coil be rotated for it to generate a maximum voltage of 115 V?

Answer 1

Answer:

Frequency is 1.758 Hz

Solution:

As per the question:

No.of turns, n = 487 turns

Magnetic field, B = 0.570 T

Area of the field, A = $0.150\times 0.250 = 0.0375\ m^{2}$

Maximum Voltage, $V_{m} = 115\ V$

Now,

To calculate the frequency:

Angular frequency, $\omega = 2\pi f= 120\pi$

Maximum emf, $V_{max} = \omega NAB$

Maximum emf, $115 = 2\pi f\times 487\times 0.0375\times 0.570$

$f = {115}{2\pi f\times 487\times 0.0375\times 0.570} = 1.758\ Hz$