Solved: The magnetic field B at the center of a circular

Chapter 15, Problem 80GP

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The magnetic field  at the center of a circular coil of wire carrying a current  (as in Fig.  ) is

\(B=\frac{\mu_{0} N I}{2 r}\)

where  is the number of loops in the coil and  is its radius. Suppose that an electromagnet uses a coil  in diameter made from square copper wire  on a side. The power supply produces  at a maximum power output of .

 How many turns are needed to run the power supply at maximum power?

(b) What is the magnetic field strength at the center of the coil?

(c) If you use a greater number of turns and this same power supply (so the voltage remains at  ), will a greater magnetic field strength result? Explain.

Equation Transcription:

Text Transcription:

B=\frac{\mu_0 N I 2 r

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