Parts A, B, C & D (5%) Problem 8: A wire of length L 0.25 m and mass m 0.035 kg

Question

Parts A, B, C & D

(5%) Problem 8: A wire of length L 0.25 m and mass m 0.035 kg carries a current of I 0.85 A. The wire is floating at rest in a magnetic field as shown in the B figure Randomized Variables L 0.25 m m 0.035 kg I 0.85 A x x x x x x x x x x x x x Otheexpertta.com A 25% Part (a) What are the forces acting on the wire, and which directions do they go? Grade Summary Gravity, upward. Magnetic force, downward Deductions Magnetic force, upward. Gravity, upward. Potential 100% Magnetic force, downward. Gravity, do Submissions OGravity, downward. Magnetic force, upward. Attempts remaining: 3 (33 per attempt) Submit Hint I give up! detailed view Hints 0% deduction per hint. Hints remaining 1 Feedback 1% deduction per feedback. A 25% Part (b) Express the magnitude of the magnetic force in terms of the current I, length Land the magnetic field B A 25% Part (c Given the fact that the wire is floating at rest, derive an expression for B A 25% Part (d) Calculate the numerical value of B in tesla

Explanation / Answer

Given: L = 0.25 m,I = 0.85 A,m = 0.033 kg

(a) Gravity, downward,Magnetic force,upward

(b) The magnitude of the magnetic force

F = B*I*L*sin(90)

= B*I*L

(C) Derive the B

Fb = Fg

B*I*L = m*g

B = m*g/I*L

(d) Calculate the value of B in tesla

B = m*g/I*L

= (0.035 kg)*(9.8 m/s^2)/(0.85 A)*(0.25 m)

= 1.62 T

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