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EXECUTE A circular ring with area 4.45 cm? is carrying a current of 12.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B = (1.35 x 10-2 T)(12î +33- 4k). The ring is positioned initially such that its magnetic moment orientation is given by Part B Determine the components of initial magnetic torque of the current-carrying ring. i = (-0.8i +0.6j), where u is the (positive) magnitude of the magnetic moment. Express your answers in newton-meters separated by commas. (a) Find the initial magnetic torque on the ring. • View Available Hint(s) (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment Ta, Ty, Tz = -1.80x10-4,-2.40x10-4,-7.21x10-4 N m orientation is given by i, = - uk. Determine the decrease in potential energy. Submit Previous Answers (c) If the moment of inertia of the ring about a diameter is 6.50 x 10-7 kg · m2, determine the angular speed of the ring as it passes through the second position. Correct Part C Find the change in potential energy from the first orientation of the ring to the second orientation. Express your answer with the appropriate units. • View Available Hint(s) Hint 1. Scalar product You may need to use the equation for the dot product: A B = A B+ A,By + ABz. HẢ % Å AU = Value Units

EXECUTE A circular ring with area 4.45 cm? is carrying a current of 12.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B = (1.35 x 10-2 T)(12î +33- 4k). The ring is positioned initially such that its magnetic moment orientation is given by Part B Determine the components of initial magnetic torque of the current-carrying ring. i = (-0.8i +0.6j), where u is the (positive) magnitude of the magnetic moment. Express your answers in newton-meters separated by commas. (a) Find the initial magnetic torque on the ring. • View Available Hint(s) (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment Ta, Ty, Tz = -1.80x10-4,-2.40x10-4,-7.21x10-4 N m orientation is given by i, = - uk. Determine the decrease in potential energy. Submit Previous Answers (c) If the moment of inertia of the ring about a diameter is 6.50 x 10-7 kg · m2, determine the angular speed of the ring as it passes through the second position. Correct Part C Find the change in potential energy from the first orientation of the ring to the second orientation. Express your answer with the appropriate units. • View Available Hint(s) Hint 1. Scalar product You may need to use the equation for the dot product: A B = A B+ A,By + ABz. HẢ % Å AU = Value Units

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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EXECUTE A circular ring with area 4.45 cm2 is carrying a current of 12.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field Part B given by B = (1.35 × 10-2 T)(12î +33 – 4k). The ring is positioned initially such that its magnetic moment orientation is given by i: = µ(-0.8i + 0.6j), where µ is the (positive) magnitude of the magnetic moment. Determine the components of initial magnetic torque of the current-carrying ring. Express your answers in newton-meters separated by commas. (a) Find the initial magnetic torque on the ring. • View Available Hint(s) (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment orientation is given by if = -uk. Determine the decrease in potential energy. Te, Ty, Tz = -1.80x10-4,-2.40x10-4,-7.21x10-4 N.m Submit Previous Answers (c) If the moment of inertia of the ring about a diameter is 6.50 x 10-7 kg m2, determine the angular speed of the ring as it passes through the second position. Correct Part C Find the change in potential energy from the first orientation of the ring to the second orientation. Express your answer with the appropriate units. v View Available Hint(s) Hint 1. Scalar product You may need to use the equation for the dot product: A · B = ABª+ AyBy+ AzBz. A AU = Value Units
Transcribed Image Text:EXECUTE A circular ring with area 4.45 cm2 is carrying a current of 12.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field Part B given by B = (1.35 × 10-2 T)(12î +33 – 4k). The ring is positioned initially such that its magnetic moment orientation is given by i: = µ(-0.8i + 0.6j), where µ is the (positive) magnitude of the magnetic moment. Determine the components of initial magnetic torque of the current-carrying ring. Express your answers in newton-meters separated by commas. (a) Find the initial magnetic torque on the ring. • View Available Hint(s) (b) The ring (which is free to rotate around one diameter) is released and turns through an angle of 90.0°, at which point its magnetic moment orientation is given by if = -uk. Determine the decrease in potential energy. Te, Ty, Tz = -1.80x10-4,-2.40x10-4,-7.21x10-4 N.m Submit Previous Answers (c) If the moment of inertia of the ring about a diameter is 6.50 x 10-7 kg m2, determine the angular speed of the ring as it passes through the second position. Correct Part C Find the change in potential energy from the first orientation of the ring to the second orientation. Express your answer with the appropriate units. v View Available Hint(s) Hint 1. Scalar product You may need to use the equation for the dot product: A · B = ABª+ AyBy+ AzBz. A AU = Value Units
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