All Problems

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=1.7I=1.7 A, the total number of turns is N=1000,N=1000, the ratio of the outside diameter to the inside one is η=1.6,\eta=1.6, and the height is equal to h=5.0 cmh=5.0 \mathrm{~cm}

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