Question

A wire formed in the shape of a right triangle with base L_ab = 35 cm and height L_bc = 79 cm carries current I = 752 mA as shown in Position 1. The wire is located in a region containing a constant magnetic field B = 0.55 T aligned with the positive z-axis.

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

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

3.)The wire is now rotated 180^o 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.

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

5.) The wire is now returned to Position 1 and then rotated 180^o about the x-axis to Position 3, as shown. What is ?U₁₃, the change in potential energy of the wire? If the potential energy increases in going from Position 1 to Position 3, the change in potential energy is positive.]

Answer 1

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