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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Electrostatic potential outside of a charged ball [closed]
To preface, I have never solved Maxwell's equation or his resulting Poisson's equation in any coordinate scheme, nor am I a physics major. I'm entirely teaching myself how to do this, so I don't know ...
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Does the geometric shape of the cross-section of an infinitesimally thin conducting charged thread (wire) affect its electric field?
Assume that a solid conducting torus (toroidal ring), with a cross-section of a circle of (minor) radius $r$, is negatively charged. Solving Poisson's equation, we can find the charge distribution of ...
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How does this proof of Gauss’ law generalize from $1$ to $n$ charges?
I am having trouble seeing how the proof of Gauss’ law for one charge generalizes to hold for multiple charges in Griffiths’ introduction to electrodynamics.
Gauss’ law is proved for one charge (for ...
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Derivation of the Noether current (Gauss law operator) in anomalous chiral gauge theory
I am reading Fujikawa-Suzuki's Path Integrals and Quantum Anomalies, §6.3. The Lagrangian I am looking at is
\begin{equation}
\mathcal{L}=-\frac{1}{4g^2}\left(\partial_\mu L_\nu^a-\partial_{\nu}L_\mu^...
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Why is flux of magnetic field always zero for closed surfaces?
I'm having troubles accepting that the magnetic flux through a closed surface is always zero. I understand the fact that no magnetic monopoles exist , therefore all the 'lines' of magnetic flux that ...
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Does cutting out the surfaces with no surface charge affect the charge distribution on the remaining parts of a conducting surface of arbitrary shape?
Assume that we have an arbitrary conducting surface being charged positively/negatively. Also, assume that we have extracted charge distribution by solving the Poisson's equation with proper boundary ...
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Total charge within a sphere
Consider an electric field in free space with
$$
\mathbf {D} = -3z\mathbf {a_r} μCb/m^2
$$
I need to calculate the total charge within a 3mm sphere centered at (0,1,1).
I calculate the charge ...
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Induced charge on conducting sphere sliced by a plane
We are given a conducting solid sphere, and it is cut by a plane as shown.
A charge $Q$ is given to the smaller part of the conductor, and it is required to find the induced charge on the surface of ...
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Can the $r^2$ in gravity be seen as signifying the distance of object 1 to 2 times distance from object 2 to 1 [closed]
If the formula for gravity multiplies the mass in the numerator and the distance in the denominator is this akin to saying the multiplied masses over the multiplied distances times the gravitational ...
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Gauss's Law vs Image charges
Consider a grounded shell of radius $R$, inside is a point charge $q$ at a distance $a$ from the centre. Now, this charge would induce an amount of charge $-q$ on the conductor, whose field would be ...
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Total charge on a polarized neutral dielectric
I'm going through Griffith's EM book right now and from problem 4.14 we can see that the total charge on a polarized neutral dielectric is 0 (since it is neutral) the polarization may move around some ...
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Why do multiply electric field by the area? [closed]
I have a question about why we multiply e field by the surface area. When finding the total of something in a given area we need to take how much there is in one unit and multiply it by the area. If i ...
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Confusion regarding a statement regarding conductors [duplicate]
While discussing conductors, our lecturer told us that,
UNDER ELECTROSTATIC CONDITIONS, electric field is zero in the "meat" of the conductor.
Using this assumption (and using Gauss law), ...
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Does the distance between two objects of mass not matter when measuring strength of gravity in one-dimensional space?
From all that I have heard about Newton's Law of Universal Gravity, one fact, which I find quite interesting, is that the distance between the two objects of mass is squared and not cubed due to our ...
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Charged plate between two different dielectrics
Imagine a charged plate, placed in between two DIFFERENT dielectrics of susceptibilities $\chi _1\:and\: \chi _2$ .
From Gauss's law, We can conclude that the sum of the magnitude of the electric ...
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