(5%) Problem 15: A wire of length L 0.75 m and mass m 0.015 kg carries a current

Question

(5%) Problem 15: A wire of length L 0.75 m and mass m 0.015 kg carries a current of I 0.45 A. The wire is floating at rest in a magnetic field as shown in the B figure. Randomized Variables L 0.75 m m 0.015 kg I 0.45 A Otheexpertta.com A 25% Part (a What are the forces acting on the wire, and which directions do they go? 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 Grade Summary 0% Deductions

Explanation / Answer

a) Gravity, direction is downward

Magnetic force, direction is upward

b) F = B I L * sin theta

c) B = m g / I L sin theta

d) B = (0.015 * 9.8) / (0.45 * 0.75 )

= 0.436 T

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