Problem 20.92 A long wire carrying I = 6.70A of current makes two bends, as show

Question

Problem 20.92

A long wire carrying I = 6.70A of current makes two bends, as shown in the figure. The bent part of the wire passes through a uniform 0.255T magnetic field directed as shown in the figure and confined to a limited region of space.

Part A

Find the magnitude of the force that the magnetic field exerts on the wire.

F= _________ N

Part B

Find the direction of the force that the magnetic field exerts on the wire.

Give your answer as a clockwise angle from the left-hand straight segment.

? = _____________

Problem 20.92 A long wire carrying I = 6.70A of current makes two bends, as shown in the figure. The bent part of the wire passes through a uniform 0.255T magnetic field directed as shown in the figure and confined to a limited region of space. Part A Find the magnitude of the force that the magnetic field exerts on the wire. F= _________ N Part B Find the direction of the force that the magnetic field exerts on the wire. Give your answer as a clockwise angle from the left-hand straight segment. ? = _____________

Explanation / Answer

Fy = I*x*B = 6.7*1*0.255 = 1.7085 N

Fx = I*y*B = 6.7*0.4*0.255 = 0.6834 N

a) F = sqrt(Fx^2+Fy^2) = 1.84 N

b) direction = tan^-1(Fy/Fx) = 68.19

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