# 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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### What conditions are necessary for an inverse square law of a quantity?

Explanations for why forces like gravity obey an inverse square law usually refer to flux lines which decrease in density $\propto \frac{1}{4 \pi r^2}$. However there are many other cases of ...
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### Question on Gauss's law

This question is from Griffiths' Electrodynamics, Chapter 2, question 49, part e). The question is as follows: Problem 2.49 Imagine that new and extraordinarily precise measurements have revealed ...
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### Is Gauss electric flux law valid in all coordinate systems?

The derivation of Gauss electric flux is as follows : $$\iint{\vec{E}}\cdot{\vec{dS}}=\iint E \, dS \cos\theta \, .$$ The projection of infinitesimal area on the surface $\vec{dS}$ on the radial ...
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### Electric field of a capacitor in dielectric medium with weird size

I have been learning gauss's law in capacitor recently, recently I come up with this problem that I couldn't solve myself. If we have a capacitor,and a dielectric medium with half the volume between ...
1answer
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### Flux through a conduting cylinder?

A point charge of magnitude $Q$ is placed inside a conducting cylinder of length $L$ and radius $R$ at its centre. What is the flux through the cylinder? I know that I have to use Gauss Law here but ...
1answer
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### How gauss law is not applicable here?

I am a high school student and I am very confused in how to use Gauss law, when we have to calculate electric field due to infinite sheet or wire, and for spherical surfaces, I know how we do that, we ...
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### How can I calculate the $D$ field when all the free charge is on a conductor embedded in a dielectric?

Let $K$ be a bounded piece of conductor, embedded in an isotropic, homogeneous, uniform dielectric of permittivity $\epsilon$. Let $\vec r$ be a point in the exterior of the conductor. Let $\rho_f$ ...
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### Is principle of superposition valid for extended conducting objects whose charge distribution is affected by presence of other charges nearby?

let me explain my question with an example. Say we put a charge at the centre of an metallic hollow charged sphere and measure electric field at a distance larger than the radius. It is easy to ...
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### A point charge near a conducting cylinder

As we could figure out the point charge induced image charge on a conducting sphere in Jackson's book. Is there any way to figure out the point charge induced image charge form on a conducting ...
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### How is the $E$-field getting canceled between outer and inner surface of a neutral conducting spherical shell?

I am reading Purcell's E&M book and in one of the example questions, it shows that there is no E field between outer and inner surface after a a point charge is located at an arbitrary position ...
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### A solution of an electrostatic problem without definition of flux

I have this problem: The figure shows the electric field lines around a system of three charges $q_1$, $q_2$ and $q_3$. The central charge have a value of $q_2=-10.0\,\mu\mathrm C$. Find the value of ...
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