# Questions tagged [maxwell-equations]

A set of four equations that define electrodynamics. They comprise the Gauss laws for the electric and magnetic fields, the Faraday law, and the Ampère law. Together, these equations uniquely determine the electric and magnetic fields of a physical system. Do not use this tag for the thermodynamical equations known as Maxwell's relations.

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### Why visible light satisfies Maxwell equations? [duplicate]

As it is described in standard textbooks I looked at, the Maxwell equations were first established for electromagnetic fields created by electric currents. Then it is stated that it was discovered ...
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### Colors of the Earth from space, an “average” of particular emitters?

When we're say about 100 km above Earth's ground and look down to it and see the Amazonian region as green, is this green color a sort of "average" of greens from trees from that forest or is the "...
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### Magnetic induction by changing permeability of a uniform magnetic field?

As far as I know, magnetic fields are created by either magnet or running current, which both can be changed by changing the permeability of the medium and thus change the magnetic flux through the ...
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### What would Maxwell's equations look like if photons had only a single helicity?

There are two types of photons, positive and negative helicity photons. What would Maxwell's equations look like say if there were only negative helicity photons? It would be interesting to see this ...
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### Electromagnetic field confined inside a closed optical resonator

I am currently studying Maxwell's equations. Out of interest, I was reading the introduction to the textbook The Quantum Theory of Light, third edition, by Louden. When discussing the photon, the ...
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### Magnetic Vector Potential and Ampere's law

If I can set the divergence of $A$ as whatever I want, won't it affect Ampere's law: $$\nabla ^{2}A=-\mu_0J$$ I could set it to zero and that would mean $\nabla 0=0=J$ I have understood the proof ...
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### Why is the value of volume charge density $ρ$ zero in lossy medium?

Given is the page of a book which I was studying. I was trying to study the derivation of the wave equation in a lossy medium. As I have underlined a sentence that says, "most of the case in ...
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### How to prove that both $\mu_0$ and $\epsilon_0$ don't depend on any frame of references? [duplicate]

Based on my previous question here, lets us step back a little bit. The speed of light $c=1/\sqrt{\mu_0\epsilon_0}$ is assumed as a value that does not depend on the observer because it is just a ...
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### Interpretation of Gauss's theorem applied to Maxwell's equations: $\dfrac{d}{dt} \int \rho \ dV + \int \mathbf{j} \cdot \mathbf{n} \ dS = 0$

Using Maxwell's equations and Gauss's theorem, we get $$\dfrac{d}{dt} \int \rho \ dV + \int \mathbf{j} \cdot \mathbf{n} \ dS = 0,$$ where $\rho$ is the electric charge density and $\mathbf{j}$ is the ...
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### Does displacement current occur in an inductor?

We have learned in school that displacement current comes about due to a change in electric field flux per time in a capacitor (Ampere-Maxwell Law). Does the same displacement current come about in an ...
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### Can stable magnetic field induce current?

I read about a experiment conducted in 1933 by W.Meissner that follows: Metal was put in constant magnetic field then been cooled down in order to enter superconductivity state. Then researchers ...
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### Continuity equation derivation from Lorenz Gauge

How can deduce the Electromagnetic Continuity Equation from the Lorenz gauge condition?
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### Covariant form of Maxwell Equations in curved spacetime

The real world doesn't care about our choice of coordinate to describe nature. Maxwell equations in vectorial form are written with respect to an Inertial frame of reference as: \begin{align} \vec\...
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### Formal definition of charge density and current sources in classical electromagnetism

Charge density and current sources are fundamental to classical electromagnetism and appear in Maxwell's equations and everything that comes after. They are intuitive, charge density is a scalar field ...