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A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 2 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V

A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 2 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 30.72CP
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A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). V (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V (d) Calculate the magnitude of torque (in N m) exerted by the magnetic field on the coil at the instant when the emf is a maximum. N.m (e) What is the maximum power delivered to the coil (in W)? W (f) What If? If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 x 10-8. m. m² (g) What If? Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field? rad/s
Transcribed Image Text:A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). V (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V (d) Calculate the magnitude of torque (in N m) exerted by the magnetic field on the coil at the instant when the emf is a maximum. N.m (e) What is the maximum power delivered to the coil (in W)? W (f) What If? If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 x 10-8. m. m² (g) What If? Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field? rad/s
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(d) Calculate the magnitude of torque (in N. m) exerted by the magnetic field on the coil at the instant when the emf is a maximum. N.m (e) What is the maximum power delivered to the coil (in W)? W (f) What If? If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 x 10-8 2. m. m² (g) What If? Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field? rad/s
Transcribed Image Text:(d) Calculate the magnitude of torque (in N. m) exerted by the magnetic field on the coil at the instant when the emf is a maximum. N.m (e) What is the maximum power delivered to the coil (in W)? W (f) What If? If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 x 10-8 2. m. m² (g) What If? Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field? rad/s
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