Three long, parallel, straight wires pass through the vertices of an equilateral

Question

Three long, parallel, straight wires pass through the vertices of an equilateral triangle that has sides L = 11.6 cm, as shown in the figure below. A a dot indicates that the direction of the current is out of the screen and a cross indicates that the direction of the current is into the screen.

Each current is 14.0 A.
(a) Find the magnetic field at the location of the upper wire due to the currents in the two lower wires in uT.
Whats the direction

(b) Find the force per unit length on the upper wire in N/m.
Whats the direction

Explanation / Answer

a) B = 2 * (µi/2pr) cos? = 2*2e-7*14/0.116*0.866025 = 4.18*10^-5 T b) F/L = i B = 14 * 4.1808e-5 = 5.85 *10^-4

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