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Constant Magnetic Field, Magnetics

Problem 3.242

Fig. 3.65 shows a toroidal solenoid whose cross-section is rectangular. Find the magnetic flux through this cross-section if the current through the winding equals \(I=1.7\) A, the total number of turns is \(N=1000,\) the ratio of the outside diameter to the inside one is \(\eta=1.6,\) and the height is equal to \(h=5.0 \mathrm{~cm}\)

Reveal Answer
3.242.Φ=(μ0/4π)2INhln⁡η==8μWb.\begin{aligned} & 3.242 . \Phi=\left(\mu_{0} / 4 \pi\right) 2 I N h \ln \eta=\\ =& 8 \mu \mathrm{Wb} . \end{aligned}
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