Magnetism Problem: Find Force Between 2 Current Wires

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To find the mutual force between two parallel current-carrying wires, the relevant formula is F/l = (μ I1 I2) / (2π r), where F is the force, l is the length of the wires, μ is the permeability of free space, I1 and I2 are the currents, and r is the distance between the wires. The user has currents of 2A and 3A, with a separation of 0.05m, but is struggling to calculate the correct force magnitude. Additionally, the direction of the force can be determined based on the right-hand rule, indicating that the wires will attract or repel each other depending on the direction of the currents. The discussion emphasizes understanding the application of magnetic force equations rather than simply providing an answer. Clarification on the approach to solving the problem is sought.
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Homework Statement



Two 1m long current carrying wires are separated by 0.05m. One carries 2A and one carries 3A. What is the magnitude of the mutual force between them? In what direction does the force act on each wire?

Homework Equations


The Attempt at a Solution



I apologize for not following the policy but I'm not sure where to start. I already have the answer so I'm not looking for an answer, but just how to go about solving the problem. Any help would be appreciated.
 
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Surely you must know something about magnetic force? Start by posting that, then we can take it from there...
 
Thanks for the reply. Sorry, I guess I gave the impression that I know nothing..

Yes, I know that the force on a current carrying wire is found by F = IlBsin(\vartheta).

And I have that the formula for interaction between two sources is \frac{F}{l} = \frac{\mu I _{1} I_{2}}{2\pi r}

I actually did just try plugging into that second equation but I can't seem to get the right answer. (Plus that would only solve magnitude)
 
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