A rectangular loop has
dimensions 0.500 m by 0.300 m.
The loop is hinged along the
x - axis and lies in the xy - plane
(Fig. P19.42). A uniform magnetic
field of 1.50 T is directed
at an angle of 40.0° with respect
to the positive y - axis and lies
parallel everywhere to the
yz - plane. The loop carries a
current of 0.900 A in the direction shown. (Ignore gravitation.)
(a) In what direction is magnetic force exerted on wire
segment ab? What is the direction of the magnetic torque
associated with this force, as computed with respect to
the x - axis? (b) What is the direction of the magnetic force
exerted on segment cd ? What is the direction of the magnetic
torque associated with this force, again computed with
respect to the x - axis? (c) Can the forces examined in parts
(a) and (b) combine to cause the loop to rotate around
the x - axis? Can they affect the motion of the loop in any
way? Explain. (d) What is the direction (in the yz - plane)
of the magnetic force exerted on segment bc ? Measuring
torques with respect to the x - axis, what is the direction
of the torque exerted by the force on segment bc ?
(e) Looking toward the origin along the positive x - axis, will
the loop rotate clockwise or counterclockwise? (f ) Compute
the magnitude of the magnetic moment of the loop. (g) What
is the angle between the magnetic moment vector and the
magnetic field? (h) Compute the torque on the loop using the
values found for the magnetic moment and magnetic field.
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