Three long parallel wires are 3.5 cm from one another. (Looking along them, they

Question

Three long parallel wires are 3.5 cm from one another. (Looking along them, they are at three corners of an equilateral triangle.) The current in each wire is 7.75 A , but its direction in wire M is opposite to that in wires N and P (see the figure).

Determine the magnitude of magnetic force per unit length on wire M due to the other two.

Determine the direction of magnetic force per unit length on wire M due to the other two.

Determine the magnitude of magnetic force per unit length on wire N due to the other two.

Determine the direction of magnetic force per unit length on wire N due to the other two.

Determine the magnitude of magnetic force per unit length on wire P due to the other two.

Determine the direction of magnetic force per unit length on wire P due to the other two.

Explanation / Answer

At M the mag of the other two wires is the same and
F/L =o*I1*I2/2L = (2x10^-7)(7.75)^2/0.035 = 3.432142857 x 10^-4 N

So F/L total = 2*3.432142857 x 10^-4*cos(30) = 5.944645807 x 10^-4N

Direction 90o


AT N Same magnitude as M = 5.944645807 x 10^-4 N

but direction is 300o


At P Magnitude is the same M = 5.944645807 x 10^-4 N

Direction 240o

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