Calculating Electron Deflection in a Ballistic Electron Transistor

[Duncan1382]

Homework Statement

In nanoscale electronics, electrons can be treated like billiard balls. The figure shows a simple device currently under study in which an electron elastically collides with a rigid wall (a ballistic electron transistor). The green bars represent electrodes that can apply a vertical force of 7.60·10-13 N to the electrons. If an electron initially has velocity components vx = 1.30·105 m/s and vy = 0 and the wall is at 45°, the deflection angle θD is 90°. How long does the vertical force from the electrodes need to be applied to obtain a deflection angle of 131°?

Homework Equations

Force*Delta.Time = Mass*Delta.Velocity

The Attempt at a Solution

I've spend a long time trying to figure this out. I'm trying to set Force*Delta.Time = Mass*Delta.Velocity.

I know that the mass is 9.11 10^-31, the force is 7.60·10-13, and I need to find the velocity to solve for the time.

I'm not sure how to find the velocity.

Thanks for any help.

 

[rl.bhat]

The vertical force on the electron is given. Mass of the electron is known. Find acceleration in the y direction.
Vx is given. Find Vy by Vy = a*t.

The velocity with which the electron hits tilting wall is given by

V = sqrt(Vx^2 + Vy^2) making an angle θ such that tanθ = (Vy/Vx) with horizon.

Angle made by the velocity to the inclined wall is (45 - θ).

To make the deviation 131 degrees, the velocity must make an angle 65.5 degrees with the normal to the inclined wall.
So 65.5 = 90 - ( 45 - θ)

Solve for θ and find tanθ.

From that you can find Vy and hence t.