Wire Attracts Loop - Electromagnetic Unit

[Angie K.]

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

 

[AdityaDev]

where is the figure?

 

[Angie K.]

where is the figure?

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

 

[rude man]

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.

 

[AdityaDev]

what are the forces which act on each segment of loop? are these forces balanced?