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Makovka662 [10]
3 years ago
12

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?
Physics
1 answer:
Sever21 [200]3 years ago
3 0

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

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