A uniform electric field exists in the region between two oppositely charged pla

Question

A uniform electric field exists in the region between two oppositely charged plane parallel plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate. 4.00 cm distant from the first in a time interval of 1.20 times 10^-8 Find the magnitude of this electric field. Find the speed of the electron when it strikes the second plate. An electron is projected with an initial speed V_0= 5.05 times 10^8 m/s into the uniform field between the parallel plates in the figure (Figure 11. The direction of the field is vertically downward, and the field is zero except in the space between the two plates. The electron enters the field at a point midway between the plates. If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field.

Explanation / Answer

17.33

E = electric field

m = mass of electron

q = charge on electron

a = acceleration = qE/m

d = distance between the plates = 0.04 m

t = 1.2 x 10-8 sec

Vo = initial velocity = 0 m/s

Using the equation

d = Vo t + (0.5) a t2

0.04 = 0 (1.2 x 10-8) + (0.5) (qE/m) (1.2 x 10-8)2

0.04 = (0.5) ((1.6 x 10-19) E/(9.1 x 10-31)) (1.2 x 10-8)2

E = 3.16 x 103 N/C

B)

Vf = Vo + a t

Vf = 0 + ((1.6 x 10-19) (3.16 x 103 )/(9.1 x 10-31)) (1.2 x 10-8)

Vf = 6.67 x 106 m/s

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