Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Exercise 27.39 A long wire carrying 4.50A of current makes two 90 ?bends, as sho

ID: 1375409 • Letter: E

Question

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.

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

A)

as the force on a wire segment is given as

F = BIL

Here , the net force on the wire is

F = -4.5*0.6*.248 j + 4.5*0.3*.248 i

F = 0.335 i - 0.6696 j N

magnitude = sqrt(.335^2 + .6696^2)

magnitude = 0.749 N

the magnitude of force is 0.749 N

B)

theta = arctan(.6696/.335) below horizontal

theta = 63.4 degree below horizontal