The long, thin wire shown in the figure (Figure 1) is in a region of constant ma

Question

The long, thin wire shown in the figure (Figure 1) is in a region of constant magnetic field B . The wire carries a current of 6.2 A and is oriented at an angle of 7.5 to the direction of the magnetic field.

Part A

If the magnetic force exerted on this wire per meter is 3.4×102 N , what is the magnitude of the magnetic field?

Express your answer using two significant figures.

Part B

At what angle will the force exerted on the wire per meter be equal to 1.6×102 N ?

Express your answer using two significant figures.

Explanation / Answer

curent i= 6.2 A

angle thtea=7.5 oC

A)

force per unit length F=Bil*sin(theta)

F/l =Bi*sin(theta)

3.4*10^-2 = B*6.2*sin(7.5)

===>

B=3.4*10^-2/(6.2*sin(7.5))

B=0.042 T

B)

F/l =Bi*sin(theta)

1.6*10^-2 = 0.042*6.2*sin(theta)

sin(theta) = 1.6*10^-2/(0.042*6.2)

sin(theta) = 0.06144

====>

theta = 3.52 degrees

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