Finding velocity from change in potential

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Discussion Overview

The discussion revolves around finding the velocity of an electron given a change in electric potential, focusing on the application of conservation of energy principles in this context.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses uncertainty about recalling how to calculate velocity from a change in potential.
  • Another participant suggests using conservation of energy to determine the change in kinetic energy as the electron moves through a voltage.
  • A third participant describes a specific scenario where an electron is accelerated from rest through a potential difference of 400 V, equating the potential energy to kinetic energy to find the velocity.
  • A later reply emphasizes the importance of understanding potential energy per unit charge and provides a formula relating potential energy change to voltage, noting the need to convert units from electronvolts to joules for calculations.

Areas of Agreement / Disagreement

Participants generally agree on the application of conservation of energy principles, but there is no consensus on the specific calculations or unit conversions involved.

Contextual Notes

There are limitations regarding the assumptions made about initial conditions, such as the electron starting from rest, and the dependence on unit conversions between electronvolts and joules.

Who May Find This Useful

This discussion may be useful for students or individuals seeking to understand the relationship between electric potential and kinetic energy in the context of particle physics or electromagnetism.

Xender
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I seem to be drawing a blank here (even though i have done these types of problems before).
Just need some help with remembering how to find the velocity of (an electron) when giving the change in potential.
 
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Think in terms of conservation of energy.

How much does the kinetic energy of the electron change by when it moves through the given voltage? You should be able to find the new velocity if you find the new kinetic energy.
 
oh nice thank you. yea i have that an electron is accelerated from rest through a potential difference of 400 V. so the KE at the start is 0 and initial PE is 400, so i ended up setting 400 = KE and solved.
 
No problem. :smile:

Remember that potential is potential energy per unit charge. i.e.:

[tex]\Delta U=q\Delta V[/tex]

where delta V is the potential difference and delta U is the difference in potential energy.

If you set the potential energy = 400, your units are in eV not J. Multiply the potential difference by the charge of the electron to get the energy in Joules if needed.
 

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