Accelerating an electron through a pot. diff.

In summary, the process of accelerating an electron through a potential difference involves using an electric field to increase the speed and energy of the electron. This is achieved by applying a voltage across a potential difference, causing the electron to move from an area of high potential to an area of low potential. This acceleration of electrons is a crucial aspect of many technologies, such as particle accelerators and electronic devices.
  • #1
Romperstomper
An electron is accelerated through a potential difference of 240V, what is it's speed?

I used energy conservation to find it.

So, here's what I did:
[tex] 0 = \frac{1}{2} m\Delta v^2 + q\Delta V[/tex]

[tex]240V*(1.6*10^-19C) = \frac{1}{2} * (9.1*10^-31kg )* V^2[/tex]

[tex]V = 9.2*10^6 m/s[/tex]

Is this correct, or am I doing something wrong?
 
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  • #2
Looks good to me.
 
  • #3


Your calculation looks correct to me! Using the equation for energy conservation, you have correctly solved for the electron's final velocity. Just be sure to pay attention to the units - in this case, the velocity should be in meters per second (m/s). Good job!
 

1. How is an electron accelerated through a potential difference?

Electrons can be accelerated through a potential difference by placing them in an electric field. The electric field exerts a force on the electrons, causing them to accelerate towards the positive terminal of the potential difference.

2. What is the role of a potential difference in accelerating an electron?

A potential difference creates an electric field that exerts a force on the electrons, causing them to accelerate. The greater the potential difference, the stronger the electric field and the greater the acceleration of the electrons.

3. Can any material be used to accelerate electrons through a potential difference?

Yes, any material that allows for the creation of an electric field can be used to accelerate electrons through a potential difference. This includes metals, semiconductors, and insulators.

4. What is the relationship between the potential difference and the speed of the accelerated electrons?

The speed of the accelerated electrons is directly proportional to the potential difference. This means that the higher the potential difference, the faster the electrons will accelerate and the greater their final speed will be.

5. How is the acceleration of electrons through a potential difference measured?

The acceleration of electrons through a potential difference can be measured using an electric field sensor, which can detect the strength of the electric field and calculate the acceleration of the electrons based on the potential difference and the mass of the electrons.

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