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Mail sh Secure i https://www webassign net/webstudent/Assignment Reponses/submitin-si1644eas 04 S A certain superconducting magnet in the form o alloy, must be cooled to 4.2 K. Find the number of turns in the solencid of a solenoid of length 0.60 m can generate a magnetic field of 5.5 T in its core when its coils carry a current of 90 A. The windings, made of a niobium-Raium turns Need Help? Rase It is desired to construct a solenold that will have a r from copper wire having a diameter of O,500 mm. If the radius of the solenid is to be 1.00 cm, determine the following esistance of 5.30 (at 2°C) and produce a magnetic field of 4.00 r10-7 T at its center when it cames a current of 3.85 A. The solneld is to be construct The resitiver of copper at 20 c s no a . m a) the number of turns of wire needed to build the solenoid (b) the length the solenoid should have Need Help? A solenoid 10.0 cm in dlameter and 87.8 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turnes touching each other. what power must be delivered to the soler old if it is to produce a field of0 mT at its center? (Assume the resistivity of the copper wire is 1 70 x 10 a n·m Need Help?

Explanation / Answer

B = mu0 N I / L

N = B L / mu0 I = (5.5 * 0.6) / (4 pi * 10-7 * 90)

N = 29,178 turns

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a) r = d / 2 = 0.5 mm / 2 = 0.25 * 10-3 m

L = R pi r2 / p = (5.3 * pi * (0.25 * 10-3)2) / (1.68 * 10-8) = 61.9 m

N = L / 2 pi r = 61.9 / 2 pi (1 * 10-2)

number of turns = 985 turns

b) n = B / mu0 I = (4 * 10-2) / (4 pi * 10-7 * 3.85) = 8268 turns/m

L = N / n = 985 / 8268

length of solenoid = 11.9 cm

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