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A toroid has a mean radius of 0.20 m and 500 turns carrying a current…
Question
A toroid has a mean radius of 0.20 m and 500 turns carrying a current of 4.0 A. Using mu_0 = 4*pi x 10^-7, find the magnitude of the magnetic field (in millitesla) along the central circle (at the mean radius) inside the toroid.
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Step-by-step solution
For a toroid, B = mu_0 N I /(2*pi*R_mean). = (4*pi x 10^-7 x 500 x 4.0)/(2*pi x 0.20). Numerator = 4*pi x 10^-7 x 2000 = 8e-4 * pi. Denominator = 0.40*pi. Ratio = 8e-4/0.40 = 2.0e-3 T = 2.0 mT.
Final answer2.0
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