An electron is traveling through a region between two metal plates in which ther

Question

An electron is traveling through a region between two metal plates in which there is a constant electric field of magnitude E along the ydirection as sketched in the figure below. This region has a total length L, and the electron has an initial speed v0 along the x direction. (Use the following as necessary: m and e for the mass and charge of the electron respectively, E, L, and v0. Do not substitute numerical values; use variables only.)

(a) How long does it take the electron to travel the length of the plates?
t = ________

(b) What are the magnitude and direction of the electric force on the electron while it is between the plates?

---Select One Answer---> +x x +y y

(c) What is the acceleration of the electron?

---Select One Answer---> +x x +y y

(d) By what distance is the electron deflected (y) when it leaves the plates?
y = _____________

(e) What is the final velocity of the electron?

---Select One Answer---> +x x +y y

Explanation / Answer

we know that,time(t)=distance(L)/velocity(v0).

F=eE

a=(eE)/m,where, (F=Electric Force, e=electron charge, E=electric field, m=mass of electron, L=length, t=time)

For the final velocity Vx, I tried to work with the motion equations. Vx=V0+at Vx being final velocity in the x direction, V0 being initial velocity, a is acceleration, and t is time. I plugged in the equations I worked out in the problem for t and a getting Vx=V0 + (eE/m)(L/V0), but the systems says this is an incorrect answer.

For the Distance deflected I also used a motion equation (delta)y=V0 t + 1/2a(y direction) t^2 I worked this down to deltaY= 1/2 (eE/m)(L/v0)^2 and am unsure where to go now.

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