(14%) Problem 5: Suppose 42.5 cm of wire is experiencing a magnetic force of 1.1

Question

(14%) Problem 5: Suppose 42.5 cm of wire is experiencing a magnetic force of 1.1 N Randomized Variables I=75 A B=1.45 T 42.5 cm F=1.1N 50% Part (a) what is the angle in degrees between the wire and the 1.45 T field if it is carrying a 7.5 A current? sin tan cotanasin acosO * 1 2 3 0 atan acotanO sinh cosh)tanh) cotanhO oDegrees Radians END SubmitHint ive Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) What is the force in N on the wire if it is rotated to make an angle of 90° with the field?

Explanation / Answer

here,

length , l = 0.425 m

I = 7.5 A

B = 1.45 T

F = 1.1 N

a)

let the angle between the wire and the feild be theta

force , F = B * I * L * sin(theta)

1.1 = 1.45 * 7.5 * 0.425 * sin(theta)

solving for theta

theta = 13.7 degree

b)

when , theta = 90 degree

the force , F = B * I * L * sin(90)

F = 1.45 * 7.5 * 0.425 * 1 N

F = 4.62 N

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