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

Question

he 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 3.1×102 N , what is the magnitude of the magnetic field?

Express your answer using two significant figures.

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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.

3.23

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Explanation / Answer

A) we know, magnetic force acting per meter, F/L = B*I*sin(theta)

3.1*10^-2 = B*6.2*sin(7.5)

B = 3.1*10^-2/(6.2*sin(7.5))

= 0.038 T

B)Again use, magnetic force acting per meter, F/L = B*I*sin(theta)

sin(theta) = (F/L)/(B*I)

= 1.6*10^-2/(0.038*6.2)

= 0.0679

theta = sin^-1(0.0679)

= 3.9 degrees

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