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Interactive Solution 22.43 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 south magnetic pole. Suppose we want to utilize this field with a rotating coil to generate 54.1-Hz ac electricity. What is the minimum number of turns (area per turn = 0.024 m2) that the coil must have to produce an rms voltage of 170 V?

1 Answer

3 votes

Answer:

427097

Step-by-step explanation:

V = Voltage = 170 V

B = Magnetic field =
6.9* 10^(-5)\ T

f = Frequency = 54.1 Hz

A = Area =
0.024\ m^2

Number of turns is given by


N=(V√(2))/(BA2\pi f)\\\Rightarrow N=(170√(2))/(6.9* 10^(-5)* 0.024* 2\pi* 54.1)\\\Rightarrow N=427096.933536\approx 427097\ turns

Number of turns is 427097

User Grant Thomas
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