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jimmyting

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**[SOLVED] Finding the force between 2 finite length wires**

## Homework Statement

The two wires of length 2m are 3mm apart and carry a current of 10 A dc.

calculate the force between these wires.

## Homework Equations

Well, I know that the force is found with [tex]F=IL\times B[/tex]

Since we aren't given B, the equation for magnetic field is [tex]B= \frac{\mu\mi_{o}}{4\pi}\frac{IL\times\hat{r}}{r^{2}}[/tex]

A possibly relating equation is the equation for an infinite long wire

[tex]B= \frac{\mu\mi_{o}I}{2\pi r}[/tex]

## The Attempt at a Solution

I plugged in what I knew for all the variables, and ended up with an answer of 4.44 repeating

I substituted 10 for I (both times since it is the same current for both wires)

r^ was 1 because the wires are // causing a perpendicular field

L was 2 because it is the length the current traveled in

r was .003 because it is the distance between which the force is being applied.

With those substitutions, what am I doing wrong?

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