(6%) Problem 10: A wire of length L 0.75 m and mass m 0.065 kg carries a current

Question

(6%) Problem 10: A wire of length L 0.75 m and mass m 0.065 kg carries a current of 0.35 A. The wire is floating at rest in a magnetic field as shown in the B figure. Randomized Variables 0.75 m 0.065 kg 1 0.35 A Otheexpertta.com G 25% Part (a) What are the forces acting on the wire, and which directions do they go? Grade Summary Magnetic force, downward. Gravit downward Deductions Magnetic force, upward. Gravity upward. Potential 100% Gravity, upward. Magnetic force, downward. Submissions Gravity, downward. Magnetic force, ward. Attempts remaining: 3 per attempt detailed view Submit Hint I give up! Hints: deduction per hint. Hints remaining Feedback 10 deduction per feedback. 25% Part (b) Express the magnitude of the magnetic force in terms of the current I, 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 numerical value of Bin tesla.

Explanation / Answer

wire is at rest so sum of net force = 0

here only two force are acting on wire magnetic force and gravity force

gravity force direction is downward magnetic force direction should be in upward direction

d option

part b )

Fb = I*L*B

part c )

mg = ILB

B = mg/IL

part d )

B = 2.427 T

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