A large electromagnet is made of a thin iron torus of radius r and permeability µ = 10³ μ are which we wind a coil with N total turns and which carries current I (see Fig. 1 below). The t has a small gap with arc length x < 2πr where there is a strong magnetic field. If N = 200, I A, r = 1 m, and x = 10 cm, what is the magnetic field in the gap? Assume that the electroma is operating in the linear regime where B = µH, and ignore any fringing effect near the gap. N turns Fe core |x|
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