V An electron is to be accelerated in a uniform electric field having a strength of 2.1 10° 1. (a) What energy in keV is given to the electron if it is accelerated through 0.45 m? AKE = V keV (b) Over what distance (in km) would it have to be accelerated to increase its energy by 41 GeV? d = V km Hint: How is potential energy, PE, gained by an electron related to the uniform electric field? How is the potential difference, V, related to the uniform electric field?

University Physics Volume 2
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ISBN:9781938168161
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Chapter7: Electric Potential
Section: Chapter Questions
Problem 41P: An electron is to be accelerated in a uniform electric field having a strength of 2.00106 V/m. (a)...
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1.
An electron is to be accelerated in a uniform electric field having a strength of 2.1 10°
(a) What energy in keV is given to the electron if it is accelerated through 0.45 m?
ΔΚΕ -
kev
(b) Over what distance (in km) would it have to be accelerated to increase its energy by 41 GeV?
d =
km
Hint: How is potential energy, PE, gained by an electron related to the uniform electric field? How is
the potential difference, V, related to the uniform electric field?
Transcribed Image Text:1. An electron is to be accelerated in a uniform electric field having a strength of 2.1 10° (a) What energy in keV is given to the electron if it is accelerated through 0.45 m? ΔΚΕ - kev (b) Over what distance (in km) would it have to be accelerated to increase its energy by 41 GeV? d = km Hint: How is potential energy, PE, gained by an electron related to the uniform electric field? How is the potential difference, V, related to the uniform electric field?
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