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vodka [1.7K]
3 years ago
15

provides one model for solving this problem. The maximum strength of the earth's magnetic field is about 6.9 x 10-5 T near the s

outh magnetic pole. Suppose we want to utilize this field with a rotating coil to generate 84.5-Hz ac electricity What is the minimum number of turns (area per turn = 0.021 m2) that the coil must have to produce an rms voltage of 170 V?
Physics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

The minimum no. of turns is 3.126 \times 10^{5}

Explanation:

Given:

Magnetic field B = 6.9 \times 10^{-5} T

Frequency f = 84.5 Hz

Area of turn A = 0.021 m^{2}

Voltage V_{rms}  = 170 V

From the formula of induced emf,

V = NBA \omega

Where \omega = 2\pi f and V = \sqrt{2} V_{rms}

So number of turn is,

N = \frac{\sqrt{2} V_{rms} }{AB2\pi f }

N = \frac{\sqrt{2} \times 170 }{0.021 \times 6.9 \times 10^{-5} \times 6.28 \times 84.5 }

N = 3.126 \times 10^{5}

Therefore, the minimum no. of turns is 3.126 \times 10^{5}

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