Questions tagged [gauss-law]
A law in classical electromagnetism and Newtonian gravity which relates (charge) density to the divergence of a field, or alternatively the charge in a volume to the flux through the bounding surface.
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The discontinuity of Electric Field
''electric field always undergoes a discontinuity when you cross a surface charge $\sigma$'' GRIFFITHS
In the derivation; Suppose we draw a wafer-thin Gaussian Pillbox, extended just barely over the ...
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Why is the radial direction the preferred one in spherical symmetry?
I am learning about electricity and magnetism by watching MIT video
lectures.
In the lecture about Gauss's law, while trying to calculate the flux through a sphere with charge in it, the lecturer ...
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Charge outside Gaussian Surface doesn't contribute to Flux?
I roughly understand the explanation for this: any electric field line that enters the surface, must leave it, since field lines can't terminate abruptly in space. My question is, what if you have a ...
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How can electric field be constant everywhere due to infinite plane sheet?
Why electric field lines through infinite plane sheet straight and constant everywhere I am not getting it why don't it change with distance can someone explain it omitting Gauss's law proof, I will ...
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The relation between Gauss's law and Coulomb law and why is it important that the electric field decrease proportionally to $\frac{1}{r^{2}}$?
My question relates to the third MIT's video lecture about Electricity
and Magnetism, specifically from $21:18-22:00$ : http://youtu.be/XaaP1bWFjDA?t=21m18s
I have watched the development of Gauss's ...
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Why do outside charges do not contribute to net flux of a Gaussian Surface?
I don't quite understand why external charges can be ignored when calculating the net flux of a Gaussian surface. I understand that $\nabla \cdot \vec{E}$ of any point charge equals $0$ and I can ...
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Coulomb's law and Gauss' Law
Which of these laws is more fundamental or forms the basis of electrostatics?
I started off with Coulomb's law and then I studied Gauss' law. I was wondering which one is more universal?
My professor ...
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Divergence of non conservative electric field
I'm looking for the proof that the 1st Maxwell equation is valid also on non conservative electric field.
When we are talking about a electrostatic field, the equation is ok. We can apply the Gauss (...
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Electric field line density : Theory vs Reality
I've already went through this post. Yet, I still can't understand the meaning of "density" of electric field lines whose number is, in reality, infinite.
One of the answers , for instance, states ...
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Gauss' law in differential form and electric fields
I know Gauss' divergence theorem, according to which $$\iiint_D\nabla\cdot\boldsymbol{F}\text{d}x\text{d}y\text{d}z=\iint_{\partial D}\boldsymbol{F}\cdot\boldsymbol{N}_e\text{d}\sigma$$ where $D$ is a ...
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Gauss's Law with Moving Charges
My text claims that Gauss's Law has been proven to work for moving charges experimentally, is there a non-experimental way to verify this?
user24082
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Proving electric field constant between two charged infinite parallel plates
It is known that the electric field intensity between two infinitely long charged parallel plates is constant.
I had read that one explanation is that if a test charge is placed between the plates, ...
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Are gravitational field lines ever used in situations beyond classical Newtonian gravity?
Answers to Where do gravitational field lines go exactly? We know where they start, but explain that for Newtonian gravity they go to infinity.
In a simple Newtonian gravity exercise there is no "...
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The roundabout definition of electric charge
In the book called Electricity and magnetism by Purcell, in page-240, he writes that Q in a surface is defined as
$$ Q = \epsilon_{o} \int_{\partial S(t)} \vec{E} \cdot \vec{dA}$$
Now, I'm quite ...
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Is there a limitation on Gauss' law? [duplicate]
Recently I had a question to find the electric field at a distance $R$ from the origin, where the space is filled with charge of density $\rho$. I did this by assuming a Gaussian surface of radius $R$....
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