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.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter30: Magnetic Fields And Forces
Section: Chapter Questions
Problem 73PQ: A circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50...
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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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