Current - two parallel conductors

AI Thread Summary
The discussion revolves around calculating the greater of two currents in parallel wires, where one wire carries twice the current of the other. The force experienced by one wire is given as 7.0μN over a 2.0m length, and the separation between the wires is 4.0mm. The participant initially attempted to solve the problem using the formula for magnetic force between two parallel conductors but expressed uncertainty about their approach. They sought clarification on the correct application of the formula and whether their calculations were accurate. The conversation emphasizes the need for a deeper understanding of the relationship between current and force in this context.
hawkbyte
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Homework Statement


Two long parallel wires are separated by 4.0mm. The current in one of the wires is twice the other current. If the magnitude if the force on a 2.0m length of one of the wires is equal to 7.0μN, what is the greater of the two currents?

Homework Equations


F(b)=μ*I(1)*I(2)*l/2∏a

The Attempt at a Solution


I'm afraid I oversimplified my approach to this problem. I plugged the known values into the equation above and solved for I. I was then going to multiply that value by two. I am certain that is wrong, and that I am missing an important concept with regards to the problem. A shove in the right direction would be much appreciated!
 
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I think you are going correct. I just can't recall the formula for the force, so I will assume the one you posted is correct.
 

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