Electric Field Energy of Hydrogen Atom: Proton & Electron

AI Thread Summary
The discussion centers on calculating the electric field energy of a hydrogen atom, specifically focusing on the interaction between the proton and electron. It highlights the limitations of the classical model, which assumes a fixed orbit for the electron influenced solely by Coulomb forces, neglecting gravitational effects. Participants are seeking assistance in determining the total electric field energy using the energy density of the electric field and considering the proton's charge distribution. The conversation emphasizes the need for accurate calculations and understanding of the underlying physics. Overall, the thread aims to clarify complex concepts related to electric field energy in atomic structures.
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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