Exercise 27.39 Part A Find the magnitude of the force that the magnetic field ex

Question

Exercise 27.39

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.

Exercise 27.39

A long wire carrying 4.50A of current makes two 90 ?bends, as shown in the figure (Figure 1) . The bent part of the wire passes through a uniform 0.248T 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.

?=   ? clockwise from right direction Exercise 27.39 A long wire carrying 4.50A of current makes two 90 ?bends, as shown in the figure (Figure 1) . The bent part of the wire passes through a uniform 0.248T 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.

Explanation / Answer

Note that

F = BIL

For the horizontal parts,

B = 0.248 T
I = 4.50 A
L = 0.60 m

Thus,

Fy = -0.6696 N, downward

For the vertical part, L = 0.30 m,

Fx = 0.3348 N, to the right

Thus, the resultant of these two forces are

F = 0.749 N   [ANSWER]

Angle = 63.4 degrees South of East (or standard angle -63.4 degrees) [ANSWER]

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