# 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 Maxwell-Boltzmann distribution, or the thermodynamical equations known as Maxwell's relations.

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### Flux change through a loop

I'm having difficulties understanding this thing. It would be lovable if someone could show me its derivations and prove it: In a conducting loop, there is a relationship between the total displaced ...
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### Lorentz force error in the present 2024 version of the gravitoelectromagnetism Wikipedia page? [closed]

I noticed that the Gravitoelectromagnetism (GEM) Wikipedia page has been edited recently. The factor of 4 in the GEM Lorentz force equation is now missing. But the GEM field equations are identical to ...
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### Maxwell stress tensor on a capacitor late given a dielectric

Given a capacitor with large plates (area $A$) separated by a dielectric with relative permittivity $\varepsilon_r$ and thickness $g$, I believe the Maxwell stress tensor states that the force on each ...
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### The puzzling interaction between an anapole moment and external fields

Consider an electrical current distribution with only an [anapole, or toroidal moment] but no electrical or magnetic multipole moments, like this current on a torus: Its magnetic field is completely ...
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### Is there a second-order non-linear addition to Maxwell's equations?

Maxwell's equations are famously linear and are the classical limit of QED. The thing is QED even without charged particles is pretty non-linear with photon-photon interaction terms. Can these photon-...
1 vote
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### Divergence of Electric Field of Point Charge is always zero [closed]

I might have a bug in my brain, but I just can't figure this out. Please help. According to the first of the Maxwell Equations, we have $$\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_0}.$$ And we have ...
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1 vote
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### Deriving the Cable Equation from Maxwell's Equations

My goal is to reach equation 12 on this wikipedia page: Cable Theory. The demonstration is usually done by making an infinitesimal circuit, but I would like to get there via Maxwell's Equations by ...
1 vote
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### Which magnetic field is the one in the inductance equation?

Any self induction problem that can be solved via $emf=-N\frac{\Delta \phi}{\Delta t}$ should be equivalently solvable via $-L\frac{\Delta i}{\Delta t}$. What if the coil is already existing in a ...
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1 vote
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### What step is missing from this transformation of the Clausius-Mossotti relation into the Garnett-Maxwell equation?

When deriving the Maxwell-Garnett equation for composite systems (host material with dielectric particles disposed in it), the steps generally taken are Step 1) Equate the Clausius-Mossotti equation ...
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### Proof of speed of light from Maxwell's equations in integral form

Is it possible to prove that $$\displaystyle c = \frac 1 {\sqrt{\epsilon_0 \mu_0}}$$ using Maxwell's equation in integral form? Recently, I saw this kind of proof by Professor Walter Lewin in one of ...
1 vote