Charges at the corners of a square.

[msemsey]

Homework Statement

Four positive charges are located on the corners of a square of side-length a.
The charges are A=4, B=2, C=8
4q----a----q
|------------|
a-----------a
|------------|
2q----a----8q

Determine the magnitude and direction of the electric field experienced by charge q in terms of q, a, and k_e.

Homework Equations

E_x = [q₁*q₂/(4*∏*ε_o*a^2)]cosθ
E_y = [q₁*q₂/(4*∏*ε_o*a^2)]sinθ

The Attempt at a Solution

Ex = 4keq²/a^2 + 2keq²/[(2a²)^.5]cos45
Ey = [2keq²/(a*2^1/2)]sin45 + 8keq²/a²

I know I have to sum up the x components from A->q and B->q for the x component of the vector, and then sum up the y components from B ->q and C->q for the y component and then use the pythagorean theorum to find the magnitude. For the direction I have to take the tangent of the y-component/x-component. I am just confused because there aren't any values given. Would the above be correct?

 

[TSny]

Ex = 4keq²/a^2 + 2keq²/[(2a²)^.5]cos45
Ey = [2keq²/(a*2^1/2)]sin45 + 8keq²/a²

Check the expressions for the denominators.

 

[msemsey]

Check the expressions for the denominators.

I just went on fearofphysics.com (lifesaver) and have realized my error. I had the distance squared for one fraction, but not the other one. Thank you very much.

Edit: It WOULD be one of those errors.