(a) Two long current-carrying wires are a distance 2 d apart. A third wire of le

Question

(a) Two long current-carrying wires are a distance 2d apart. A third wire of length L and mass M is suspended half-way between these wires. The current through the top and middle wire is I and the current through the bottom wire is 2I. What are the current I and the current direction in the middle wire necessary for the magnetic force to cancel the gravitational force?

d = 0.85 x 10-2 m L = 0.8 m M = 1.6 x 10-3 kg

A) 10.8 A, Left

B) 10.8 A, Right

C) 40.8 A, Left

D) 40.8 A, Right

E) 28.9 A, Left

F) 28.9 A, Right

G) 16.7 A, Left

H) 16.7 A, Right

(b)

Write an equation for the total force on the middle wire.

Explanation / Answer

a - (D) 40.8 A, Right

b-

=> F = BIL - Mg

=> F= [(mu(0) * I)/ 4 * pi * d] * I * L - mg

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