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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A large electromagnet is made of a thin iron torus of radius r and permeability =
- 10³ μ40
which we wind a coil with N total turns and which carries current I (see Fig. 1 below). The torus
has a small gap with arc length x < 2r where there is a strong magnetic field. If N =
I
200, I = 50
A, r = 1 m, and x = 10 cm, what is the magnetic field in the gap? Assume that the electromagnet
is operating in the linear regime where B = µH, and ignore any fringing effect near the gap.
N turns
Fe core
Q
|x|
Transcribed Image Text:around A large electromagnet is made of a thin iron torus of radius r and permeability = - 10³ μ40 which we wind a coil with N total turns and which carries current I (see Fig. 1 below). The torus has a small gap with arc length x < 2r where there is a strong magnetic field. If N = I 200, I = 50 A, r = 1 m, and x = 10 cm, what is the magnetic field in the gap? Assume that the electromagnet is operating in the linear regime where B = µH, and ignore any fringing effect near the gap. N turns Fe core Q |x|
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