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F16 PH333 4.2.1-4.2.3

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Richard Datwyler

on 31 October 2018

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Transcript of F16 PH333 4.2.1-4.2.3

Field from a Polarized object
4.2.1 Bound charges
4.2.2 Physical interpretation
4.2.3 Field Inside Dielectric
Bound charges
Recall the potential from a dipole.
and we defined polarization as dipole per unit volume
Then we can find the dipole moment by taking the density function and evaluating it over all the volume of polarization.
which is the final answer. but math tricks are always around....
together gives
and remember the product rule
finally stokes theorem
The second is from volume charge density
This first term is a potential from surface charge density
Gives a new and final derived expression for potential from these 'bound charge' distributions.
What is the E field form a uniformly polarized sphere.
P
What are the bound charge densities?
0
on surface
E on surface
Physical interpretation
line all the little dipoles up and get nice 'cancellation' inside, but net charge on ends.
if uniform
The give a more 'rigorous' prove, but these pictures show the same idea
Field inside a dielectric
the short of it is, we can use
to find the potential
"Is it true that the Electric field inside the sphere doesn't matter, rather only the field outside summarizes and accurately describes what is going on inside the sphere?

Second, can you please give a visual of what P dot n hat looks like, that's the surface charge density. Thank you!"
"Can we review the field in a dielectric"
"Can you explain the concept of direction of a dipole moment?"
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