An electron is accelerated inside a parallel plate capacitor. The electron leave
ID: 1272132 • Letter: A
Question
An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity ?. The distance between the plates is 18.7 cm, and the voltage difference is 132 kV.A) Determine the final velocity ? of the electron using classical mechanics. (The rest mass of the electron is 9.11 An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity ?. The distance between the plates is 18.7 cm, and the voltage difference is 132 kV.
A) Determine the final velocity ? of the electron using classical mechanics. (The rest mass of the electron is 9.11
A) Determine the final velocity ? of the electron using classical mechanics. (The rest mass of the electron is 9.11
A) Determine the final velocity ? of the electron using classical mechanics. (The rest mass of the electron is 9.11
Explanation / Answer
a) conservation of energy
1/2 mv^2 = e V
0.5*9.11E-31*v^2 = 1.6E-19*132.0E3
v=2.15E8 m/s
b) now use KE relativistic (gamma -1) mc^2
(1/sqrt(1-(v/3.0E8)^2)-1)*9.11E-31*3.0E8^2 = 1.6E-19*132.0E3
v=1.82E8 m/s
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