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## Homework Statement

I am trying to figure out how the formula for the force between two anti-parallel wires differs from the formula for parallel wires.

## Homework Equations

B=μ

_{0}I/2∏R

Force between two parallel wires = μ

_{0}LI

_{a}I

_{b}/2∏d

## The Attempt at a Solution

I understand that d is the hypotenuse made by the x and y distances between the two parallel wires.

I also understand that if the two currents run in parallel they will attract, but if they run anti-parallel they will repel.

What I don't understand is how to manipulate the formula to calculate the anti-parallel force. At first I thought it would just be the negative value of the attractive force, but I am unsure. My other thought was that the repelling force would be based off of the net magnetic force between the two wires.

I am very lost. If anyone felt like clearing this up for me I would very much appreciate it.