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 y direction 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--- +x ?x +y ?y

(c) What is the acceleration of the electron?

---Select--- +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--- +x ?x +y ?y

Explanation / Answer

a.L/vo

b.magnitud=Ee
downward

c.Ee/m ; downward

d.y = 0.5 EeL^2/(m*vo^2)

e.v0x = v0
v0y = EeL/(mv0)

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