A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates in the presence of a uniform magnetic field of magnitude 0.800 T. The coil has 72 turns of wire, and is 2.49 cm wide by 4.21 cm long. When the coil is oriented so that the plane of the rectangle is perpendicular to the magnetic field, it carries a current of 10.5 mA, and its magnetic dipole moment points in the opposite direction of the magnetic field. The coil then rotates one half revolution, and the direction of its dipole moment is then flipped so that the process repeats itself. In this way, the coil continues to rotate at an angular speed of 3.48 × 103 rev/min. (a) What is the maximum torque acting on the coil (in N • m)? (Enter the magnitude.) N. m (b) What is the peak power output of the motor (in W)? (c) How much work (in J) is performed by the magnetic field on the rotor in every full revolution? (d) What is the average power of the motor (in W)? W

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 71P: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude...
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A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates in the presence of a uniform magnetic field of
magnitude 0.800 T. The coil has 72 turns of wire, and is 2.49 cm wide by 4.21 cm long. When the coil is oriented so that the plane of the
rectangle is perpendicular to the magnetic field, it carries a current of 10.5 mA, and its magnetic dipole moment points in the opposite direction
of the magnetic field. The coil then rotates one half revolution, and the direction of its dipole moment is then flipped so that the process repeats
itself. In this way, the coil continues to rotate at an angular speed of 3.48 × 10° rev/min.
(a) What is the maximum torque acting on the coil (in N• m)? (Enter the magnitude.)
N• m
(b) What is the peak power output of the motor (in W)?
(c) How much work (in J) is performed by the magnetic field on the rotor in every full revolution?
(d) What is the average power of the motor (in W)?
W
Transcribed Image Text:A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates in the presence of a uniform magnetic field of magnitude 0.800 T. The coil has 72 turns of wire, and is 2.49 cm wide by 4.21 cm long. When the coil is oriented so that the plane of the rectangle is perpendicular to the magnetic field, it carries a current of 10.5 mA, and its magnetic dipole moment points in the opposite direction of the magnetic field. The coil then rotates one half revolution, and the direction of its dipole moment is then flipped so that the process repeats itself. In this way, the coil continues to rotate at an angular speed of 3.48 × 10° rev/min. (a) What is the maximum torque acting on the coil (in N• m)? (Enter the magnitude.) N• m (b) What is the peak power output of the motor (in W)? (c) How much work (in J) is performed by the magnetic field on the rotor in every full revolution? (d) What is the average power of the motor (in W)? W
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