Formula for electron accelerated across potential difference?

In summary, the conversation discussed the acceleration of an electron across a potential difference of 54V and how to calculate its maximum velocity and deBroglie wavelength. The follow-up questions asked about converting volts to electrovolts and the mass of an electron, which can easily be answered with a simple Google search.
  • #1
juliab
4
0
I got this homework and I don't know what formula to use on these problems:

An electron is accelerated across a potential difference of 54V. (a) Find the maximum velocity of the electron. (b) Calculate the deBroglie wavelength of the electron.

Please help!
 
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  • #2
1 electron accelerates to 1 eV of energy across a potential difference of 1 V = 1 J/C.

The energy obtained with 54 V would be all kinetic energy since the velocity/energy is non-relativisitic.
 
  • #3
2 follow-up questions:

How to convert volts into electrovolts?
What's the mass of an electron?
 
  • #4
juliab said:
2 follow-up questions:

How to convert volts into electrovolts?
What's the mass of an electron?

The question should be how to convert eV to joules? Both this question and the mass of the electron are easily answered with google. You can just type "eV in joules" into the google bar and get google calculator to tell you the answer. Then type "mass of electron".
 

FAQ: Formula for electron accelerated across potential difference?

What is the formula for calculating the speed of an electron accelerated across a potential difference?

The formula is v = √(2eV/m), where v is the speed of the electron, e is the charge of an electron, V is the potential difference, and m is the mass of the electron.

How is the formula derived?

The formula is derived from the conservation of energy and the equation for kinetic energy (K = ½mv²). By equating the potential energy gained by the electron across the potential difference to its kinetic energy, we can solve for v.

Can this formula be applied to any charged particle?

Yes, this formula can be applied to any charged particle as long as its mass and charge are known. However, it is most commonly used for electrons due to their small mass and charge.

What are the units for the variables in the formula?

The units for v will be meters per second (m/s), e will be coulombs (C), V will be volts (V), and m will be kilograms (kg).

Is this formula applicable to real-world scenarios?

Yes, this formula is commonly used in various fields such as physics, chemistry, and engineering to calculate the speed of charged particles in different experimental setups, such as particle accelerators and electron microscopes.

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