A circular coil composed of N = 110 of closely rolled up turns of wire, has a radius R = 0.25 m. A counterclockwise current I = 3.2 A is in the coil. The coil is set in a magnetic field of magnitude B = 1.5 T. The magnetic field points to the right. Express the magnetic dipole moment μ in terms of the number of turns N, the current I, and radius R, and use it to calculate the value of μ in SI units. Express the magnitude of the torque τ in terms of μ and B and use it to calculate the numerical value of τ in Newton-meters.

University Physics Volume 2
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ISBN:9781938168161
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...
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A circular coil composed of N = 110 of closely rolled up turns of wire, has a radius R = 0.25 m. A counterclockwise current I = 3.2 A is in the coil. The coil is set in a magnetic field of magnitude B = 1.5 T. The magnetic field points to the right.

Express the magnetic dipole moment μ in terms of the number of turns N, the current I, and radius R, and use it to calculate the value of μ in SI units.

Express the magnitude of the torque τ in terms of μ and B and use it to calculate the numerical value of τ in Newton-meters.

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