Net Force Produced By Currents In Wire And Square Loop

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A long, straight wire carrying a current of 14A produces a magnetic field affecting a nearby square loop with a current of 2.5A. The magnetic field strength at different distances from the wire is calculated, resulting in values of 1.4*10^-5 T and 2.33*10^-6 T. The net magnetic field acting on the loop is determined to be 1.16666*10^-5 T. Using this value, the net force on the loop is calculated to be approximately 2.916666*10^-5 N. The calculations are confirmed to be correct, as the solution aligns with the expected answer for a homework assignment.
JennV
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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