Electrostatics - finding velocity of an electron

In summary, the conversation discusses two physics problems related to potential energy and force. The first problem involves finding the initial velocity of an electron brought to rest by a potential difference of 1kV. The second problem involves finding the separation between the plates of a parallel plate capacitor given a force experienced by a proton and a known potential and charge. The experts provide guidance on how to approach these problems and clarify any uncertainties.
  • #1
milkyway11
15
0
The problem asks an electron is brought to rest by a potential difference of 1kV. what was the initial velocity of the electron?

To begin this problem, I first find the change in potential energy by [tex]\Delta[/tex]U=q[tex]\Delta[/tex]V. Since electron has a negative charge, I would have a negative [tex]\Delta[/tex]U. with [tex]\Delta[/tex]U=-[tex]\Delta[/tex]KE, I can find the initial velocity. But here is my problem, I would end up with a negative velocity. Did I do something wrong?

Another question A proton experiences a force of 10mN as it travels between teh plates of a parallel plate capacitor, parallel to the plates. If the capacitor holds 1mC of charge and has a potential of 10V, what is the separation between the plates?

I solved this one by using F=qE. Then I can use E to find distance via E=V/d. However, I am not sure which charge to use for the force equation. I would assume it's the charge of proton since the force is experienced by the proton. But I am not sure what the given 1mC of capacitor will do?
 
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  • #2


The problem didn't state what the polarity of the potential difference was. It only claimed that it brought the electron to rest.
 
  • #3


So what exactly does that mean?

gneill said:
The problem didn't state what the polarity of the potential difference was. It only claimed that it brought the electron to rest.
 
  • #4


milkyway11 said:
So what exactly does that mean?

You were worried about the sign of q∆V leading to a negative velocity in your calculations for the speed of the electron. You can pick whichever sign you wish for ∆V, because only the magnitude of the change was specified.
 
  • #5


Thank you! Can you also take a look at my second question?

gneill said:
You were worried about the sign of q∆V leading to a negative velocity in your calculations for the speed of the electron. You can pick whichever sign you wish for ∆V, because only the magnitude of the change was specified.
 
  • #6


For your second question, I suspect that the charge is just throwaway information. There is enough information without it to determine the field strength, and hence the separation.
 

FAQ: Electrostatics - finding velocity of an electron

What is electrostatics?

Electrostatics is the study of stationary or slow-moving electric charges and their interactions with one another. It is a branch of physics that deals with the forces and fields associated with electrically charged particles.

How is the velocity of an electron calculated in electrostatics?

The velocity of an electron can be calculated using the equation: v = E/B, where v is the velocity, E is the electric field strength, and B is the magnetic field strength. This is known as the Lorentz force law.

What factors affect the velocity of an electron in electrostatics?

The velocity of an electron is affected by the strength of the electric and magnetic fields, as well as the charge and mass of the electron. Other factors, such as the presence of other particles and forces, can also have an impact on the electron's velocity.

How does the velocity of an electron relate to its kinetic energy?

The kinetic energy of an electron is directly proportional to its velocity. This means that as the velocity of an electron increases, its kinetic energy also increases.

What is the significance of finding the velocity of an electron in electrostatics?

Calculating the velocity of an electron in electrostatics allows us to understand and predict the behavior of charged particles in electric and magnetic fields. This information is crucial in various fields of science and technology, such as in electronics, particle accelerators, and even in understanding the movement of charged particles in space.

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