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, v0. Do not substitute numerical values; use variables only.)

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, v0. Do not substitute numerical values; use variables only.) How long does it take the electron to travel the length of the plates? What are the magnitude and direction of the electric force on the electron while it is between the plates? magnitude F= What is the acceleration of the electron? magnitude a= By what distance is the electron deflected (deltaY) when it leaves the plates? deltaY= What is the final velocity of the electron?

Explanation / Answer

a) t = L/v0

b) F = qE = eE in the downward direction

c) a = F/m = eE/m

d) delta y = 1/2*a*t^2

here a = eE/m and t = L/v0

delta y = 1/2*(eE/m)*(L^2/v0^2)

==> delta y = eEL^2/(2mv0^2)

e) Vx = v0

Vy = at = (eE/m)*(L/v0)

==> Vy = eEL/(mv0)

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