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 7.25 A , but its direction in wire M is opposite to that in wires N and P (see the figure).(Figure 1)

Figure 1: http://b.1339.cf/xkgmhlj.jpg

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

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

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

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

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

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

Explanation / Answer

A> Force per unit length = {(mu)*I1*I2/2*(pi)*l}*2*cos30 (other compnents cancel) = (4*pi*(10^-7)*7.25*7.25/2*(pi)*3.5*10^-2)*(3^0.5)=52.02*10^-5N

B> Directly downwards

C>Same as on wire M

D> 120 degree to the line NP

E> Same as M

F> 120 degree clockwise to the linePN

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