What is the speed of an electron that has been accelerated from rest through a potential difference (delta V) = +1000 V? Use conservation of energy (delta K + delta U = 0). Remember that delta U = q(deltaV)
What is the speed of an electron that has been accelerated from rest through a potential difference (delta V) = +1000 V? Use conservation of energy (delta K + delta U = 0). Remember that delta U = q(deltaV)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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What is the speed of an electron that has been accelerated from rest through a potential difference (delta V) = +1000 V? Use conservation of energy (delta K + delta U = 0). Remember that delta U = q(deltaV)
Expert Solution
Step 1
According to the energy conservation
(1/2) * m * v^2 =q ΔV
Now
v = √(2 * q * ΔV / m)
where v is the speed of the electron, q is its charge, ΔV is the potential difference it has been accelerated through, and m is its mass.
The charge of an electron is -1.60 x 10^-19 C, and its mass is 9.11 x 10^-31 kg.
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