Problem 22.32 The long, thin wire shown in the figure (Figure 1) is in a region

Question

Problem 22.32 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. If the magnetic force exerted on this wire per meter is 3.1x10-2N, what is the magnitude of the magnetic field? Express your answer using two significant figures. II AL? • • • Ea ? B = mT Figure Submit Request Answer Submit Part B I= 6.2 A At what angle will the force exerted on the wire per meter be equal to 1.6x10-2N? Express your answer using two significant figures. 7 50 19 Azp - O = ? 8 = Submit Request Answer

Explanation / Answer

here,

current in the wire , I = 6.2 A

theta1= 7.5 degree

let the magnitude of magnetic feild be B

I * B * sin(theta1) = F/l

6.2 * B * sin(7.5) = 0.031

solving for B

B = 0.0383 T = 38.3 mT

the magnitude of magnetic feild is 38.3 mT

let the angle be theta2

I * B * sin(theta2) = F/m

6.2 * 0.0383 * sin(theta2) = 0.016

solving for theta2

theta2 = 3.86 degree

the angle is 3.86 degree

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