Electric Field Energy of Hydrogen Atom: Proton & Electron

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SUMMARY

The discussion focuses on calculating the electric field energy of a hydrogen atom, specifically addressing the classical model where an electron orbits a proton at the Bohr radius of 5.29E-11 m. Participants explore the total electric field energy U(E) for both the electron and proton, assuming a radius of 1.00E-15 m for each particle. Additionally, they consider the effect of uniform charge distribution within the proton on the electrical potential energy U'(E). The insights provided clarify the interplay between Coulomb forces and gravitational forces in atomic structure.

PREREQUISITES
  • Understanding of classical mechanics and atomic models
  • Familiarity with Coulomb's law and electric field concepts
  • Knowledge of gravitational forces and Newton's laws
  • Basic proficiency in energy density calculations
NEXT STEPS
  • Research the derivation of electric field energy in classical electromagnetism
  • Study the implications of charge distribution on potential energy
  • Explore quantum mechanical models of the hydrogen atom
  • Learn about the relationship between gravitational and electromagnetic forces in atomic physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and researchers interested in atomic theory, electromagnetism, and the foundational principles of quantum mechanics.

bertholf07
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Electric Field Energy?

Cant solve this problem please help? :confused:

(Given)The Classical model of the hydrogen atom has a single electon in a fixed orbit around the proton with the bohr radius (5.29E-11 m). It is assumed that the Coulomb force between the proton and the electron holds the hydrogen atom together. However, this is not completely true since both the proton and the electron have a mass so that Newton's Law of universal gravitation provides also an attactive force.

(Question 1)An improvement of this classical mechanical model of the atom involves the energy density of the electric field u(E) in a region of space. Fine the total electric field energy U(E) for the electron and proton assuming that each on has a radius of 1.00E-15?

(Question 2)Include the additional contribution to the electrical potential energy U'(E) if we consider the charge within the proton as a uniform charge distribution.
 
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