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A rectangular loop of wire with sides H = 37 cm and W = 74 cm is located in a re

ID: 2265260 • Letter: A

Question

A rectangular loop of wire with sides H = 37 cm and W = 74 cm is located in a region containing a constant magnetic field B = 1.26 T that is aligned with the positive y-axis as shown.  The loop carries current I = 380 mA.   The plane of the loop is inclined at an angle ? = 36o with respect to the x-axis.




1) What is ?x, the x-component of the magnetic moment vector of the loop?         

            A-m2



2) What is ?y, the y-component of the magnetic moment vector of the loop?         

            A-m2



3) What is ?z, the z-component of the torque exerted on the loop?         

N-m


4) What is Fbc, the magnitude of the force exerted on segment bc of the loop?.         

N

5) What is the direction of the force that is exerted on the segment bc of the loop?         

A rectangular loop of wire with sides H = 37 cm and W = 74 cm is located in a region containing a constant magnetic field B = 1.26 T that is aligned with the positive y-axis as shown. The loop carries current I = 380 mA. The plane of the loop is inclined at an angle ? = 36 degree with respect to the x-axis.

Explanation / Answer

1)?x=iAx=iAsin?=380*10-3*.37*.74*sin36=0.0611(-x direction)

2) ?y=iAy=iAcos?=380*10-3*.37*.74*cos36=0.0841

3 ? X B=380*10-3*.37*.74*1.26*sin36=0.077

4)f=ilb=380*10-3*.37*1.26=0.177N

5)along x direction

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