# Gauss Law and 2 charges

## Homework Statement

A Particle of mass m and chargeq oves at high speed along the x axis. It is initially near x=-infinity and it ends up near x=+infinity. A second charge Q is fixed at the point x=0, y=-d. As the moving charge passes the stationary chrge, its x component o velocity does not change appreciably, but it acquires a small velocity in the y direction. Determine the angle angle through which the moving charge is deflected. suggestion: The integral you encounter in determining v_y can be evaluated by applying Gauss's law to a long cylinder of radius D, centred on the stationary charge.

## Homework Equations

$$\Phi$$ = EdA

## The Attempt at a Solution

So Far, I have managed to get to E=Q/2$$\pi$$md($$\epsilon$$_0)
and ended up with a= Qq/(2$$\pi$$md($$\epsilon$$_0)
by using electric force and F=ma equations

I know the answer I should get is $$\Theta$$=Qq/(2$$\pi$$md($$\epsilon$$_0}[/tex)v$$^{2}$$

can anybody help me with the method between these two points, or correct me if my method is wrong?