What is the charge density and electric field inside a polarized hydrogen atom?

AI Thread Summary
The discussion focuses on calculating the charge density and electric field within a polarized hydrogen atom, modeled as a uniformly charged ball representing the electron cloud. To find the charge density, the total charge is divided by the volume of the charged ball. For the electric field, Gauss' Law is considered, particularly for points where the radius vector exceeds the radius of the charged ball. Participants confirm that the approach is correct and emphasize the importance of including the nucleus in the calculations. Understanding these concepts is crucial for accurately modeling the behavior of polarized atoms.
yango_17
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Homework Statement


We have a crude model for the polarization of a hydrogen atom, by approximating its 1s orbital with a uniformly charged ball of radius a. What is the (negative) charge density of the electron cloud? What is the electric field inside the cloud, at the point with radius vector r (drawn from the center of the cloud)?

Homework Equations


Equation for charge density
Gauss' Law

The Attempt at a Solution


I was confused as to how to go about setting up the problem. For the charge density I was thinking simply dividing the total charge by the volume of the charged ball. For finding the electric field inside the cloud, I was considering using Gauss' law when a < r.
 
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Your thinking is on track. Go for it! (Don't forget the nucleus.)
 
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