Register to reply

Electric Field Inside a Hydrogen Atom

by viperassasin
Tags: atom, electric, field, hydrogen, inside
Share this thread:
viperassasin
#1
Mar12-08, 12:10 AM
P: 11
1. The problem statement, all variables and given/known data
A hydrogen atom is made up of a proton of charge + Q=1.60 \times 10^{ - 19}\; {\rm C} and an electron of charge - Q= - 1.60 \times 10^{ - 19}\; {\rm C}. The proton may be regarded as a point charge at r=0, the center of the atom. The motion of the electron causes its charge to be "smeared out" into a spherical distribution around the proton, so that the electron is equivalent to a charge per unit volume of \rho (r)= - {\frac{Q}{ \pi a_{0} ^{3}}} e^{ - 2r/a_{0}} where a_0=5.29 \times 10^{ - 11} {\rm m} is called the Bohr radius

Find the total amount of the hydrogen atom's charge that is enclosed within a sphere with radius r centered on the proton.


2. Relevant equations



3. The attempt at a solution

do I just try and divide out the volume.
Phys.Org News Partner Science news on Phys.org
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems
nicksauce
#2
Mar12-08, 12:45 AM
Sci Advisor
HW Helper
nicksauce's Avatar
P: 1,275
Well one can presumably just integrate charge density from 0 to r to get charge enclosed.
tony873004
#3
Mar12-08, 01:00 AM
Sci Advisor
PF Gold
P: 1,542
Here's my guess:
between the proton and the electron, the electron's charge cancels out, since there is no charge inside a uniformly charged sphere. So if r is less than the electron's distance than charge = +Q. If r is greater than the electron's distance, outside a uniformly charged sphere, the sphere can be treated as a point mass at the center of the sphere. So outside the electron's position charge = +Q-Q = 0.

viperassasin
#4
Mar12-08, 01:12 AM
P: 11
Electric Field Inside a Hydrogen Atom

http://session.masteringphysics.com/...2%2Ar%2Fa_0%29

This the answer


Register to reply

Related Discussions
A hydrogen atom in uniform electric field Introductory Physics Homework 17
Hydrogen atom in plane wave electronic field Calculus & Beyond Homework 4
Quantum Mechanics: Hydrogen atom in an Electric field Advanced Physics Homework 1
Electric Current in a Hydrogen Atom Introductory Physics Homework 9
If ia charge is placed inside a conductor, is the electric field inside zero? Introductory Physics Homework 1