Formula for electron accelerated across potential difference?

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Homework Help Overview

The discussion revolves around a problem involving an electron accelerated across a potential difference of 54V, focusing on calculating its maximum velocity and deBroglie wavelength. The subject area includes concepts from electromagnetism and quantum mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between potential difference and kinetic energy, noting that the energy gained by the electron is equivalent to the potential difference. Questions are raised about converting volts to electrovolts and the mass of the electron.

Discussion Status

The discussion is active, with participants exploring different aspects of the problem. Some guidance has been offered regarding the energy conversion, while multiple interpretations of the questions are being examined.

Contextual Notes

Participants mention the non-relativistic nature of the problem and the potential need for conversions between units, indicating a focus on fundamental definitions and relationships in physics.

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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