Some basic electric potential questions

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SUMMARY

The discussion centers on calculating the electric potential of a hydrogen atom's nucleus at the mean distance of its electron. The correct formula to use is V = kq/r, where k is Coulomb's constant, q is the charge of the nucleus, and r is the appropriate distance. Initially, the user incorrectly used the atomic radius of 25 * 10^(-12) meters but later corrected this to the accurate value of 5.29 * 10^(-11) meters, leading to the correct potential calculation.

PREREQUISITES
  • Understanding of electric potential and Coulomb's law.
  • Familiarity with the concept of atomic radius in quantum mechanics.
  • Knowledge of integration in physics for potential calculations.
  • Basic grasp of the constants involved, such as Coulomb's constant (k).
NEXT STEPS
  • Study the derivation and applications of Coulomb's law in electrostatics.
  • Learn about the quantum mechanical model of the hydrogen atom.
  • Explore the concept of electric potential energy and its relation to electric fields.
  • Investigate the significance of atomic radii in different elements and their impact on electric potential.
USEFUL FOR

Students in physics, particularly those studying electromagnetism and atomic structure, as well as educators seeking to clarify concepts related to electric potential and atomic models.

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[solved] some basic electric potential questions

Homework Statement


Find the electric potential established by the nucleus of a hydrogen atom at the mean distance of the circulating electron.


Homework Equations



V = - Integral of (E (dot) dL)
V = kq/r from r distance of a point charge

The Attempt at a Solution



well, I found on wikipedia that the atomic radius of a hydrogen atom is 25 * 10 ^ (-12) meters.
So I just used kq/r to find the potential and got the wrong answer.

Should I be using a different distance or a different equation?

thanks
 
Last edited:
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nvm I solved it I had to use r=5.29 * 10 ^ (-11) meters
 

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