Please answer the following question clearly masteringphysies.commyctyitemview a

Question

Please answer the following question clearly

masteringphysies.commyctyitemview assignmentProblemlD-902737208offset-next Constants Part A A toroidal solenoid with mean radius r and cross- sectional area A is wound uniformly with Ni turns A second toroidal solenoid with N2 turns is wound uniformly on top of the first, so that the two solenoids have the same cross-sectional area and mean radius What is the mutual inductance of the two solencids? Assume that the magnetic field of the first solenoid is uniform across the cross section of the two solenoids. Express your answer in terms of the variables N, N. A, r, magnetic constant ?0 and others appropriate constants M- Submit Request Answer Part B If Ni 410 turns, N2 290 turns, mutual inductance? 12.8 cm, and A 0.630 cm2 , what is the value of the Express your answer to three significant figures and include the appropriate units ?? ? M-1 Value Units Submit Request Answer

Explanation / Answer

a) mutual inductance

M = mu0 N1 N2 A / (2 pi * r)

b) A = 0.630 cm2 = 0.630 * 10-4 m2

r = 12.8 cm = 0.128 m

M = (4 pi * 10-7 * 410 * 290 * 0..630 * 10-4) / (2 pi * 0.128)

value of mutual inductance = 1.17 * 10-5 H

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