(14%) Problem 6: A wire of length L = 0.75 m and mass m = 0.015 kg carries a cur

Question

(14%) Problem 6: A wire of length L = 0.75 m and mass m = 0.015 kg carries a current of I 085 A. The wire is floating at rest in a magnetic field as shown in the figure Randomized Variables L=0.75 m m = 0.015 kg 0.85 A ©theexpertta.com > 25% Part (a) what are the forces acting on the wire, and which directions do they go? Grade Summary Gravity, upward. Magnetic force, downward Magnetic force, downward. Gravity, downward Magnetic force, upward. Gravity, upward Gravity, downward. Magnetic force, upward 0% 100% Potential Attempts remaining: 3 33 per attempt) detailed view Hint I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 25% Part(b) Express the magnitude of the magnetic force in terms of the current 1, length L and the magnetic field B 25% Part (c) Given the fact that the wire is floating at rest, derive an expression for B 25% Part (d) Calculate the nurnerical value of B in tesla.

Explanation / Answer

Gravity downward. Magnetic force ,upward     <<<<<-----ANSWER

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part(b)

magnetic force Fb = I*L*B       <<<<<-----ANSWER

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part(c)

when the wire is floating Fnet = 0

Fb - Fg = 0

I*L*B - m*g = 0

B = mg/(I*L)      <<<<<-----ANSWER

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part (d)

B = (0.015*9.81)/(0.85*0.75)

magnetic field B = 0.231 T <<<<<-----ANSWER

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