Suppose an electron is released from rest in a uniformelectric field whose stren

Question

Suppose an electron is released from rest in a uniformelectric field whose strength is 5.90 x 103 V/m. a.) Throught what potential difference will it have passedafter moving 1.00 cm? b.) How fast will the electron be moving after it has traveled1.00 cm? Suppose an electron is released from rest in a uniformelectric field whose strength is 5.90 x 103 V/m. a.) Throught what potential difference will it have passedafter moving 1.00 cm? b.) How fast will the electron be moving after it has traveled1.00 cm?

Explanation / Answer

E=5.90 x 103 V/m.

a.) Throught what potential differencewill it have passed after moving 1.00 cm?
V= E s = 5.90 x 103 x0.01
V = 59V

b.) How fast will the electron be movingafter it has traveled 1.00 cm?

Ke= Pe
Ke= 0.5mv2
Pe= E s q
0.5mv2 = E s q
v= (2E s q / m)
m= 9.11 ×1031 kg
q= 1.602x10-19 C

v= (2 x 5.90x103 x 0.01 x1.602x10-19 / 9.11×1031)
v= 4.55 x106 m/s ( or0.015 c)

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