Wire Attracts Loop - Electromagnetic Unit

AI Thread Summary
The discussion centers on calculating the force on a rectangular loop of wire placed next to a straight wire carrying current. The relevant equation for the magnetic field is B = (μ0 * I)/(2π*d), where d is the distance between the wires. The force on the loop can be expressed as F = I * B * L, with L being the length of the loop segment affected by the magnetic field. Two forces act on the loop in opposite directions, necessitating the consideration of net force and balance between forces on each segment. The final expression for the force incorporates the dimensions of the loop and the current, emphasizing the need for careful analysis of the forces involved.
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Homework Statement



A rectangular loop of wire is placed next to a straight wire, as shown above. There is a current I in both the straight wire and the loop. The dimensions shown in the figure are a, b = 2.2a, and c = 8a. What is the magnitude of the force on the loop? Express your answer in terms of I, a, and μ0.

Homework Equations



B = (μ0 * I)/(2pi*d)

The Attempt at a Solution



Wouldn't I just use the equation from above and just use the value for b as the distance (d) ?

What is different in this problem that would require the equation to be different
 
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where is the figure?
 
AdityaDev said:
where is the figure?

HW15_1.jpg


Sorry, I forgot to put the figure up. Here it is!

So another attempt at this solution is:

F = I B L

where B = mu0 I / 2 pi a where a is the distance between the wires

so the final equation:

F = I * mu0 I / 2 pi a * 2.2a

where b = 2.2a is the length from the figure
 
There are two forces on the loop: one in one direction, the other in the other. So you need 2 equations. Figure out the net force on the loop.
 
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what are the forces which act on each segment of loop? are these forces balanced?
 

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