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
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
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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help im so confused on solving c
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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