Linked Questions

Besides the derivation mentioned in this Wiki article, I want to know if there exists any other derivation of the inverse-square law based on some profound physical/philosophical concepts.

It is said that Coulomb's 'inverse-square' law (and Gauss's Law) are empirical facts. I'm wondering how do we know that Coulomb's law is inverse-square, and what are the possible consequences if it's ...

I have found that the Coulomb force in two dimension varies with $\frac 1 r$: \begin{equation}\tag{2}F=\frac{1}{2\pi\epsilon}\cdot\frac{q_1q_2}{r}\end{equation} But I was not able to prove it. I think ...

If the electric field due to a point charge varies as $r^{-2.5}$ instead of $r^{-2}$, then would the Gauss Law still be valid? I infer that the $r^{-2}$ term in the Electric field comes as a result ...

I've seen many similar questions, but none of them were appropriated to me. I was reading about an answer that used the Gauss' law. I don't think that's wise because, of course, the electrostatic ...

What I think is that Gauss's law is an independent law of nature which shouldn't change on modifying Coulomb's law.Am I correct? Well the relation between Gauss's law and Coulomb's law is very strong ...

As I know, the potential between two particles of the form ~ $r^{-1}$ ($r$ is distance between particles) is special, because it solves the Poisson's equation in 3D. My question is: If I consider for ...

I’m very curious to know whether gravity exists in higher dimensions. Because it follows the inverse square law it seems to me that it should be 3D only (just intuition). Is there any mathematical ...

I am working through Griffiths, Introduction to Electrodynamics, and finding the divergence of the electric field generated by a single charge sitting at the origin. $$\mathbf{E}(\mathbf{r}) = \frac{\...

So lately I was speculating why nature choose the number 2 in Coulomb's law like why not 2.$10^{100}$ trailing zeros and then 1 or anything else. I find 2 a bit arbitrary the given explanation being ...

https://en.wikipedia.org/wiki/Spacetime#Privileged_character_of_3.2B1_spacetime Does Coulomb's Law, with Gauss's Law, imply the existence of only three spatial dimensions? Why are so many ...

It's common knowledge that the universe has three spatial dimensions, and one temporal. But how can we be so sure? Physics tells us that vector forces act independently along different dimensions, so ...

I read about Coulomb's law it says the force of attraction or repulsion between two charges is inversely proportional to the square of the distance between them. So generally if I say then Coulomb'...

Considering its occurrences in various fields like Electrostatics, Gravitation, Acoustics etc. how does the law bind these topics together?

This is the first time I'm studying those subjects (I'm still in high school) and my teacher couldn't give me an answer. I'm referring specially to Newton's law of gravitation and Coulomb's law of ...