Net Force Produced By Currents In Wire And Square Loop

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SUMMARY

The net force acting on a square loop carrying a current of 2.5A, positioned next to a long, straight wire with a current of 14A, is calculated to be 2.916666 x 10^-5 N. The magnetic field (B) generated by the wire at a distance of 0.2m is 1.4 x 10^-5 T, while at a distance of 1.2m, it is 2.33 x 10^-6 T. The difference in magnetic fields results in a net magnetic field of 1.16666 x 10^-5 T, which is then used to compute the force using the formula F = I * L * B. The calculations confirm the accuracy of the answer, which has been verified through submission on Mastering Physics.

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Homework Statement


A long, straight wire carries a current of 14A. Next to the wire is a square loop with sides 1.0m in length, as shown in the figure. The loop carries a current of 2.5A in the direction indicated.

http://img69.imageshack.us/i/walker2260.jpg/

Calculate the magnitude of the net force acting on the loop.

Homework Equations



B = Uo*I / 2*pi*r
F= I*L*B

The Attempt at a Solution



B = (4pi*10^-7)(14A) / (2pi(0.2m)) = 1.4*10^-5 T
B = (4pi*10^-7)(14A) / (2pi(1.2m)) = 2.33*10^-6 T

B = (1.4*10^-5 T)-(2.33*10^-6 T) = 1.16666*10^-5

Fnet = (2.5A)(1.0m)(1.16666*10^-5 T) = 2.916666*10^-5 N

Did I do this right? I only have one attempt left, so I'm worried that I will get it wrong.
Thank you in advance.
 
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This is from a long time ago but for anyone else wondering the answer is correct. I know this because I just submitted it as an answer for a homework assignment (Mastering Physics) and I got it right.
 

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