Formula for electron accelerated across potential difference?

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SUMMARY

The discussion focuses on calculating the maximum velocity and deBroglie wavelength of an electron accelerated through a potential difference of 54V. The kinetic energy gained by the electron is equivalent to 54 eV, which translates to 54 joules per coulomb. The mass of the electron is a crucial factor in these calculations, and it is confirmed that the energy conversion from electron volts (eV) to joules is straightforward using online tools. The discussion emphasizes the non-relativistic nature of the problem, allowing for simplified calculations.

PREREQUISITES
  • Understanding of kinetic energy formulas
  • Knowledge of electron mass (9.11 x 10-31 kg)
  • Familiarity with the concept of potential difference and its relation to energy
  • Basic understanding of deBroglie wavelength calculations
NEXT STEPS
  • Learn how to calculate kinetic energy from potential difference using the formula KE = eV
  • Research the deBroglie wavelength formula: λ = h/p, where h is Planck's constant and p is momentum
  • Explore the conversion of electron volts to joules in detail
  • Study the implications of relativistic effects on electron acceleration at high voltages
USEFUL FOR

Students in physics, particularly those studying electromagnetism and quantum mechanics, as well as educators looking for practical examples of electron behavior in electric fields.

juliab
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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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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.
 
2 follow-up questions:

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

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