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Three long parallel wires are 3.8 c m from one another. (Looking along them, the

ID: 3896912 • Letter: T

Question

Three long parallel wires are 3.8 cm from one another. (Looking along them, they are at three corners of an equilateral triangle.) The current in each wire is 8.00A , but its direction in wire M is opposite to that in wires Nand P (see the figure (Figure 1) ).


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

______________ N/m



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

_______________ N/m


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

__________________ N/m


Please provide a step by step solution showing how you got to it will rate with best answer if your answer is correct!



Explanation / Answer

A)

At M the magnitude of the other two wires is the same

F/L = ?o*I1*I2/2?L
= 4? x 10^-7 * 8.0 * 8.0 / 2*3.14*0.038
= 3.368 x10^-4N

So F/L total = 2*3.368x10^-4*cos(30) = 5.83x10^-4N

Direction 90o (degree)


B)

AT N magnitude will be = 3.368x10^-4N

but direction is 300o


C)

At P Magnitude is the same = 3.368x10^-4N

Direction 240o


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