An electron is to be accelerated in a uniform electric field having a strength o

Question

An electron is to be accelerated in a uniform electric field having a strength of 2*10^6 V/m.
A.What change in kinetic energy (in keV) of the electron if it is accelerated through 0.4m? B. How many km would it have to be accelerated to increase its energy by 42.5 GeV?
An electron is to be accelerated in a uniform electric field having a strength of 2*10^6 V/m.
A.What change in kinetic energy (in keV) of the electron if it is accelerated through 0.4m? B. How many km would it have to be accelerated to increase its energy by 42.5 GeV?

A.What change in kinetic energy (in keV) of the electron if it is accelerated through 0.4m? B. How many km would it have to be accelerated to increase its energy by 42.5 GeV?

Explanation / Answer

E=V/d

V=electric potential=2*106*0.4

=0.8*106V

kinetic energy is expressed as elctron volts

considering single electron

kinetic energy will be=1*0.8*106

=0.8*106ev

B)

KINETIC ENERGY=42.5ev

considering one electron

potential will be 42.5*109V

d=42.5*109/2*106

=21.25*103

=21.25km

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