A long wire carrying 3.83A of current makes two 90o bends, as shown in the figur

ID: 1325629 • Letter: A

Question

A long wire carrying 3.83A of current makes two 90o bends, as shown in the figure (Figure 1) . The bent part of the wire passes through a uniform 0.3T 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.

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Part B

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

Give your answer as an clockwise angle from the rightward direction to the direction of the force.

F = N A long wire carrying 3.83A of current makes two 90o bends, as shown in the figure (Figure 1) . The bent part of the wire passes through a uniform 0.3T 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. Part B Find the direction of the force that the magnetic field exerts on the wire. Give your answer as an clockwise angle from the rightward direction to the direction of the force.

Explanation / Answer

Note that

F = BIL

For the horizontal parts, L = 0.60 m:

Fy = 0.6894 N, downward

For the vertical part, L = 0.30 m:

Fx = 0.3447 N, to the right

Using Pythagorean theorem:

|F| = 0.771 N [ANSWER, PART A]

Angle = Arctan (Fy/Fx) = 63.4 degrees [ANSWER, PART B]

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A long wire carrying 3.83A of current makes two 90o bends, as shown in the figur

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