A circular ring with area 4.45 cm? is carrying a current of 11.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B = (1.15 x 10-2 T)(12î + 3ŷ – 4k). The ring is positioned initially such that its magnetic moment orientation is given by i = µ(-0.8i + 0.6j), where µu is the (positive) magnitude of the magnetic moment. (a) Find the initial magnetic torque on the ring. (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 i = -µk. Determine the decrease in potential energy. (c) If the moment of inertia of the ring about a diameter 6.50 x 10 7 kg · cm², determine the angular speed of the ring as it passes through the second position. Determine the components of initial magnetic torque of the current-carrying ring. Find the change in potential energy from the first orientation of the ring to the second orientation. Find the rotational kinetic energy of the ring when it is in the second orientatio Find the ring's angular speed when it is in the second orientation.
A circular ring with area 4.45 cm? is carrying a current of 11.5 A. The ring, initially at rest, is immersed in a region of uniform magnetic field given by B = (1.15 x 10-2 T)(12î + 3ŷ – 4k). The ring is positioned initially such that its magnetic moment orientation is given by i = µ(-0.8i + 0.6j), where µu is the (positive) magnitude of the magnetic moment. (a) Find the initial magnetic torque on the ring. (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 i = -µk. Determine the decrease in potential energy. (c) If the moment of inertia of the ring about a diameter 6.50 x 10 7 kg · cm², determine the angular speed of the ring as it passes through the second position. Determine the components of initial magnetic torque of the current-carrying ring. Find the change in potential energy from the first orientation of the ring to the second orientation. Find the rotational kinetic energy of the ring when it is in the second orientatio Find the ring's angular speed when it is in the second orientation.
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Transcribed Image Text:A circular ring with area 4.45 cm? is carrying a current of 11.5 A. The
ring, initially at rest, is immersed in a region of uniform magnetic field
given by B = (1.15 x 10-2 T)(12î + 3ŷ – 4k). The ring is
positioned initially such that its magnetic moment orientation is given
by i = µ(-0.8i + 0.6j), where µu is the (positive) magnitude of
the magnetic moment.
(a) Find the initial magnetic torque on the ring.
(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 i = -µk. Determine the decrease
in potential energy.
(c) If the moment of inertia of the ring about a diameter
6.50 x 10 7 kg · cm², determine the angular speed of the ring as it
passes through the second position.
Determine the components of initial magnetic torque of the current-carrying ring.
Find the change in potential energy from the first orientation of the ring
to the second orientation.
Find the rotational kinetic energy of the ring when it is in the second orientatio
Find the ring's angular speed when it is in the second orientation.
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