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A wire formed in the shape of a right triangle with base L ab = 34 cm and height

ID: 2265264 • Letter: A

Question

A wire formed in the shape of a right triangle with base Lab = 34 cm and height Lbc = 77 cm carries current I = 705 mA as shown in Position 1.  The wire is located in a region containing a constant magnetic field B = 1.42 T aligned with the positive z-axis.



1) What is Fac,x, the x-component of the force on the segment of the wire that connects points a and c in Position 1?         

N


2) What is Fac,y, the y-component of the force on the segment of the wire that connects points a and c in Position 1?         

N

3) The wire is now rotated 180o about the y-axis to Position 2, as shown.  What is ?U12, the change in potential energy of the wire?  Note that ?U12 is a signed number.  ?U12 is positive if the potential energy in Position 2 is higher than the potential energy in Position 1.         

J


4) The wire is now rotated back 90o about the y-axis towards position 1.  If the wire is released from this position, how would it move?         

5)

A wire formed in the shape of a right triangle with base Lab = 34 cm and height Lbc = 77 cm carries current I = 705 mA as shown in Position 1. The wire is located in a region containing a constant magnetic field B = 1.42 T aligned with the positive z-axis.

Explanation / Answer

1- -0.192 N

2- 0.0455 N

3- 0.0346 J

4- It would rotate towards Position 1

5- 0.0346 J

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