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## 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

[tex]\Phi[/tex] = ∮EdA

## The Attempt at a Solution

So Far, I have managed to get to E=Q/2[tex]\pi[/tex]md([tex]\epsilon[/tex]_0)

and ended up with a= Qq/(2[tex]\pi[/tex]md([tex]\epsilon[/tex]_0)

by using electric force and F=ma equations

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

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