A rectangular loophas dimensions 0.500 mby 0.300 m. The

Chapter , Problem 32

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A rectangular loophas dimensions 0.500 mby 0.300 m. The loop ishinged along the x-axisand lies in the xy-plane(Fig. P19.32). A uniformmagnetic field of 1.50 Tis directed at an angle of40.0 with respect to thepositive y-axis and lies parallel everywhere to the yzplane.The loop carries a current of 0.900 A in thedirection shown. (Ignore gravitation.) (a) In whatdirection is magnetic force exerted on wire segmentab? What is the direction of the magnetic torque associatedwith this force, as computed with respect tothe x-axis? (b) What is the direction of the magneticforce exerted on segment cd? What is the direction ofthe magnetic torque associated with this force, againcomputed with respect to the x-axis? (c) Can the forcesexamined in parts (a) and (b) combine to cause theloop to rotate around the x-axis? Can they affect themotion of the loop in any way? Explain. (d) What isthe direction (in the yz-plane) of the magnetic forceexerted on segment bc? Measuring torques with respectto the x-axis, what is the direction of the torque exertedby the force on segment bc? (e) Looking toward the originalong the positive x-axis, will the loop rotate clockwiseor counterclockwise? (f) Compute the magnitudeof the magnetic moment of the loop. (g) What is theangle between the magnetic moment vector and themagnetic field? (h) Compute the torque on the loopusing the values found for the magnetic moment andmagnetic field.