In lab, you will use a device that accelerates electrons using electric fields g

Question

In lab, you will use a device that accelerates electrons using electric fields generated between two conductive plates. A large electric field is used to "fire" the electrons out in a straight path. The electrons start from rest, accelerate a distance x (the distance between the conductive plates) through a field of strength Ex. Using the equation for the force on a charge in an electric field, Newton's 2nd Law of motion, and basic kinematics, find an equation for the final speed Vx in terms of e, Ex , me, and x. (e is the charge of
an electron and me is the mass of the electron.)

Explanation / Answer

F=e*E

a=F/m

v^2=u^2 * 2*a*x

u=0

v^2=2*e*E*x/m

v=square root(2*e*E*x/m)

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