An electron enters the region between two horizontal plates with an initial velo

Question

An electron enters the region between two horizontal plates with an initial velocity of 2 x 106i m/s midway between two horizontal plates; see Fig. 23.40. The plates are 4cm long and 1.6cm apart. What is the magnitude of the maximum vertical electric field such that the electron does not strike either plate?

DUU come come to rest? 0. D An electron enters the region between two horizontal plates with an initial velocity of 2 x 106i m/s midway be- tween two horizontal plates; see Fig. 23.40. The plates are 4 cm long and 1.6 cm apart. What is the magnitude of the maximum vertical electric field such that the electron does not strike either plate? 4 cm 1.6 cm FIGURE 23.40 Exercise 30.

Explanation / Answer

time = 0.04 / 2 X 106  

= 20 n.sec

displacement S = 1.6 / 2 = 0.8 cm

S = ut + 1/2 at2

a = 2 s / t2

a = 2 X 0.8 X 10-2 / ( 20 X 10-9 )2

= 4 X 1013 m/sec2

the electric field due to electron

F = e E

m a = e E

E = m a / E

= 9.1 X 10-31 X 4 X 1013 / 1.6 X 10-9

E = 227.5 N/C

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