Force on a charge from a line of uniform charge density

[lonely_coyote]

Homework Statement

Write an equation in vector component form for the force when a point charge q₀ is located a distance d from a vertical rod of uniform charge density Q and length L on the 45^o line that bisects the positive x and y axes.

basically if you can picture a rod going vertically on the z axis, then halfway down the rod and a distance d away is a point that i need to find the force on

Homework Equations

dF=1/(4[tex]\pi[/tex][tex]\epsilon[/tex]₀) x q₀dq/r²
note that these equations are supposed to look like 4 x pi x epsilon 0, not for raised to that power

The Attempt at a Solution

I have determined that the force were the charge to be locate on the y-axis would be
F_y=1/(4[tex]\pi[/tex][tex]\epsilon[/tex]₀) x q₀q/(y x (y² + L²/4)^1/2)

 

[jbsteele]

but I am unsure of the equation for when it is on the 45o line. How would the equation change? Thanks in advance.