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## Homework Statement

Two line charges of the same length L are parallel to each other and located in the xy plane. They each have the same linear charge density λ=constant. Find the total force on II due

to I.

## Homework Equations

F =QE

Q = [tex]\lambda[/tex]L

E = ? This is where I'm stuck.

## The Attempt at a Solution

This got me a 0 points on the homework so I know its very wrong. I really just need some clues as to how to set up the integral, or if this is just some kind of trick question, what makes it tricky. I've got tunnel vision at this point so any help will be greatly appreciated.

[tex]d\vec{E} = \frac{\lambda dl \hat{r}}{4\pi\epsilon a^{2}}[/tex]

[tex]\vec{E} = \frac{1}{4\pi\epsilon}\int\frac{\lambda dl\hat{r}}{a^{2}}[/tex]

=[tex]\frac{L\lambda}{a^{2}4\pi\epsilon}[/tex]

[tex] \vec{F} = \frac{(L\lambda)^{2}}{a^{2}4\pi\epsilon}[/tex]