# Questions tagged [maxwell]

James Clerk Maxwell (1831-1879) was a Scottish mathematical physicist whose most notable achievement was to formulate the classical theory of electromagnetic radiation, bringing together for the first time electricity, magnetism, and light as different manifestations of the same phenomenon.

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### Why do Maxwell's equations bear his name?

Maxwell's equations in their modern differential form are: $\nabla \cdot \mathbf{E} = \dfrac {\rho} {\varepsilon_0}$ (Gauss's law for electricity) $\nabla \cdot \mathbf{B} = 0$ (Gauss's law for ...
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### Did Maxwell originally write his equations using quaternions?

I read somewhere, some time ago that Maxwell originally wrote his eponymous equations using the formalism of quaternions and it was only the later intervention of Gibbs and Heaviside that put them ...
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### How did Maxwell conclude that light is an electromagnetic wave?

This is a copy of a question I just asked at Physics Stack Exchange. From reading the text on the related questions, it seems that Maxwell equated light with the carrier of electromagnetic force just ...
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### Did Maxwell invent the Maxwell's wheel?

Tried to find it online, but nothing. Everyone refers to it and that it's named after the famous James Clerk Maxwell (of the Maxwell electromagnetic laws and some other things), but there is no direct ...
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### How did Maxwell conclude that $\frac{\partial\bf E}{\partial t}$ was necessary to complete $c^2\nabla \times \bf B= \frac{\bf J}{\epsilon_0}\;?$

As we know $$c^2\text{curl}\;\bf B= \frac{\bf J}{\epsilon_0}$$ is incomplete & in many cases like capacitor give contradictory result against Law of conservation of charge. As Feynman writes; ...
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### Did Maxwell discover the distribution of velocities in a gas during an exam set by Stokes?

In some lecture notes I found online it was claimed that Maxwell discovered the Maxwell-Boltzmann distribution while in the course of solving a (then unsolved) examination problem given by Stokes. The ...
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### What is the idea behind Maxwell's “displacement current” in electromagnetism?

I'd like to get an explanation why Maxwell chose the name "displacement current" for the term $\mu_0\epsilon_0\frac{\partial E}{\partial t}$ he added to Ampere's law (Maxwell's correction). I'm ...
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### Why is Maxwell and not Ampère credited for unifying electricity and magnetism?

AmpĆØre, a half century before Maxwell, theorized that magnetism was caused by electrical currents. So, why is Maxwell and not AmpĆØre credited for unifying electricity and magnetism? (cf. the question ...
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### How did Maxwell fall short of Einstein?

This source (I believe it's in Ukrainian) claims that Maxwell came very close to creating the relativity theory, however, it was the fact that he was adhering to the traditional scientific frame of ...
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### Is it thought that Maxwell used Green's Theorem to derive his equations?

I noticed there are two varieties of Maxwell's equations and although I am not sure which form Maxwell originally worked with and perhaps the differential form came much latter, I was wondering if he ...
### Who discovered Maxwell-Faraday equation, $\nabla\times E=-\frac{\partial B}{\partial t}$? Was it Maxwell or Neumann?
I have been trying to find out who discovered Maxwell-Faraday equation, $\nabla\times E=-\frac{\partial B}{\partial t}$. Was it Maxwell himself, or was it Franz Ernst Neumann who derived it? The ...