Velocity of Electron through potential difference

In summary, using the knowledge of the charge and mass of an electron, we can determine the velocity of an electron that has been accelerated across a potential difference of 100000 volts. The energy supplied by the potential difference increases the kinetic energy of the electron, and the formula for kinetic energy can be used to find the velocity.
  • #1
jono_69a
2
0
Using your actual knowledge of the actual charge of an electron and the mass of an electron, determine he velocity of an electron that has been accelerated across a potential difference of 100000 volts.

Please show me how to do this question. Thanks
 
Physics news on Phys.org
  • #2
Hint: when the electron in accelerated over the potential difference, its kinetic energy increases. Is there an equation that relates the electron's energy to voltage?
 
  • #3
are you able to give me a little bit more infomation about how you find it. I don't really get this topic that well. Thanks
 
  • #4
jono_69a said:
are you able to give me a little bit more infomation about how you find it. I don't really get this topic that well. Thanks

Energy supplied by the pd is VQ=Ve (e is charge on the electron) and all that energy goes into increasing the kinetic energy of the electron (what's the formula for kinetic energy?)
 

What is the velocity of an electron through a potential difference?

The velocity of an electron through a potential difference is determined by its kinetic energy, which is equal to the potential energy gained by the electron as it moves through the potential difference. This can be calculated using the equation v = √(2eV/m), where v is the velocity, e is the charge of an electron, V is the potential difference, and m is the mass of the electron.

How does the velocity of an electron change with increasing potential difference?

As the potential difference increases, the velocity of an electron also increases. This is because the kinetic energy of the electron is directly proportional to the potential difference. Therefore, a larger potential difference will result in a higher kinetic energy and thus a higher velocity of the electron.

What is the relationship between the velocity of an electron and its charge?

The velocity of an electron is not affected by its charge. The equation for calculating the velocity of an electron through a potential difference does not include the charge of the electron. This means that the velocity of an electron is solely determined by its mass and the potential difference it is passing through.

How does the mass of an electron affect its velocity through a potential difference?

The mass of an electron has an inverse relationship with its velocity through a potential difference. This means that as the mass of the electron increases, its velocity decreases. This relationship is represented in the equation v = √(2eV/m), where m is the mass of the electron. This is why particles with a smaller mass, such as electrons, can achieve higher velocities than larger particles, such as protons, through the same potential difference.

Is the velocity of an electron through a potential difference affected by external factors?

Yes, the velocity of an electron can be affected by external factors such as electric and magnetic fields. These forces can change the direction and speed of the electron's motion, ultimately affecting its velocity through a potential difference. Additionally, the presence of other particles or objects in the path of the electron can also impact its velocity.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
138
  • Introductory Physics Homework Help
Replies
1
Views
656
  • Introductory Physics Homework Help
Replies
3
Views
237
Replies
22
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
855
  • Introductory Physics Homework Help
Replies
1
Views
999
  • Introductory Physics Homework Help
Replies
4
Views
693
  • Introductory Physics Homework Help
Replies
1
Views
790
  • Introductory Physics Homework Help
Replies
4
Views
754
  • Introductory Physics Homework Help
Replies
6
Views
950
Back
Top