College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 63

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. P19.32). 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 counter clockwise (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.