Magnetism Problem: Find Force Between 2 Current Wires

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SUMMARY

The discussion centers on calculating the mutual magnetic force between two parallel current-carrying wires, specifically a 1m wire carrying 2A and another carrying 3A, separated by 0.05m. The relevant equations include the force per unit length formula, F/l = (μ I₁ I₂) / (2π r), and the general force equation F = IlBsin(θ). The user expresses confusion about applying these formulas correctly to determine both the magnitude and direction of the force acting on each wire.

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  • Understanding of magnetic force principles
  • Familiarity with Ampère's Law
  • Knowledge of the Biot-Savart Law
  • Basic algebra for manipulating equations
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  • Learn about the concept of magnetic field strength (B) around a current-carrying wire
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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([tex]\vartheta[/tex]).

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

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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