Some confusion on electron volt

In summary, the concept of electron volt is the kinetic energy an electron would have when moving between 1 voltage difference. This is expressed as K = 1MeV when an electron moves between a voltage of 1 million volts. However, the problem arises when expressing K in terms of 1/2mv^2 or the relativistic formula (gamma-1)mc^2. It is important to note that in an electric field, the electron experiences a force and the work done by this force produces kinetic energy. This relationship is only applicable in non-relativistic situations. Therefore, regardless of which formula is used, an electron moving through 1V will always carry 1eV of energy by definition.
  • #1
dragonlorder
18
0

Homework Statement


I learned that by definition, one electron volt is the kinetic energy an electron would have moving between 1 voltage difference. if an electron moves between voltage of 1 million volts,then K = 1MeV, for example, but the problem is K is expressed in 1/2mv^2 or the relativistic one (gamma-1)mc^2

Homework Equations


The Attempt at a Solution

 
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  • #2
In an electric field E the electron experiences a force F = e*E
Due to this force the electron moves a distance x, and the work done W = e*x*E.
This work produces kinetic energy in electron = 1/2*m*v^2
If the electric field is uniform Voltage = x*E
 
  • #3
rl.bhat said:
In an electric field E the electron experiences a force F = e*E
Due to this force the electron moves a distance x, and the work done W = e*x*E.
This work produces kinetic energy in electron = 1/2*m*v^2
If the electric field is uniform Voltage = x*E

oh, so its defined in classical sense. I thought that since relativistic one was correct, so it might be the relativistic energy, but no. Thanks ~
 
  • #4
No, for relativistic energies the relativistic formulas must be used.

1/2 m v^2 only works in non-relativistic situations.
 
  • #5
Redbelly98 said:
No, for relativistic energies the relativistic formulas must be used.

1/2 m v^2 only works in non-relativistic situations.

yea, later I found out any electron moving through 1V, must carry 1eV energy by definition, doesn't depend on which formula I use. In high speed, relativistic, of course
 

Related to Some confusion on electron volt

1. What is an electron volt?

An electron volt (eV) is a unit of energy commonly used in physics and chemistry. It is defined as the amount of energy gained by a single electron when it moves through a potential difference of one volt.

2. How is an electron volt related to joules?

One electron volt is equivalent to 1.602 x 10^-19 joules. This means that in order to convert from eV to joules, you can simply multiply the value in eV by 1.602 x 10^-19.

3. Can an electron volt be a negative value?

No, an electron volt cannot be a negative value. It is a unit of energy and therefore must be a positive value. However, the energy of an electron can be negative if it is in a bound state, but this is not the same as an electron volt.

4. How is an electron volt used in particle physics?

In particle physics, the electron volt is often used to measure the mass and energy of subatomic particles. For example, the mass of a proton is approximately 938 million electron volts (938 MeV), and the energy of a photon can be measured in electron volts.

5. Is an electron volt a SI unit?

No, an electron volt is not a SI (International System of Units) unit. It is considered a non-SI unit, but it is still commonly used in scientific research and calculations, especially in fields such as particle physics and chemistry.

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