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Questions tagged [electromagnetism]

The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.

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Terminal velocity of a bar magnet in a long conducting tube (quantitative)

If a bar magnet is dropped into a copper (conducting) tube, it reaches a terminal velocity. I'm trying to derive this terminal velocity. We know from Lenz's law that $e=\frac{-d\phi}{dt}$. I'm facing ...
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What actually happens when light goes into a waveguide?

I have only dealt with a rudimentary theoretical treatment of how light propagates inside a waveguide, such as those available in Griffiths. One thing bugging me is that I still do not know how ...
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1 answer
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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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I am trying to derive an expression for the magnetic field of charged particles travelling at significant fractions of speed of light [closed]

I tried using lorentz transformation , which gives me correct answer for speed of light c but when i try to input any other values nearby c it becomes a constant B = 10-7 . q/r² ( (v - u)/ 1- uv/c²)
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1 answer
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Permittivity real and imaginary parts with similar value possible?

Here's the context; I'm studying biological tissues that are supposed to behave like dielectrics. Using the modified cole-cole equation for theoretical predictions: $$\tilde{\varepsilon}_r (\omega )= \...
1 vote
2 answers
3k views

Transformers: How does current in primary coil change?

I was doing a question on transformers and found this really confusing question: A 100% efficient transformer converts a 240V input voltage to a 12V output voltage. The output power of the ...
2 votes
4 answers
445 views

Derivation of covariant derivative

I'm currently doing Introductory QFT and was confused about the origin of the additional terms in the covariant derivate. My understanding is as follows: If we begin with the Dirac Lagrangian ...
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2 answers
530 views

Direction of Magnetic field caused by straight current-carrying conductor [closed]

The question: Two crisscrossing insulated wires contain currents as displayed. Find the total mag field at points P and Q, assuming the horiz current moves (a) right and (b) left. QUESTION is for part ...
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1 answer
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Why electric field increase near the cable connected in AC 220V socket even current is zero?

If I put low frequency electric field meter near the connected cable in AC 220V socket, he show 1200 V/m even if device is turn OFF(zero current), if disconnect cable from socket, field drop to 8 V/m. ...
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Assessing Error Step Size in Continuous Charge Distributions

For obtaining the electric field for bodies at the macroscopic scale, the discontinuities in the charge distributions are ignored. A continuous function for the charge distribution is considered. But ...
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3 answers
1k views

Magnetic field for a cylindrical shell in which current flows

If we have a cylindrical shell along the z-axis, with current density $\vec j= j_0 \vec e_z$ and small radius $R_i$ and big radius $R_a$. I tried to find the magnetic field inside by using Ampere's ...
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Force acting on an infinite wire with current inside a magnetic medium

I've recently stumbled on an electromagnetics problem that I don't quite understand. There is an infinite wire carrying current I that is placed inside a medium with magnetic permittivity μ1. At a ...
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Displacement current and magnetic field in capacitor with dielectric

I have a capacitor with round plates of radius $r_{2}$ kept at a distance $d$, with a voltage $V\left(t\right) = V_{0} \cos \left(\omega t\right).$ Inside, there is cylindrical material with a certain ...
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2 answers
280 views

Coulomb Gauge misunderstanding

If we have $\vec A(\vec r,t)$ and $\phi (\vec r,t)$ and we make the following gauge transformations: $$\vec A(\vec r,t)'= \vec A(\vec r,t) + \nabla f(\vec r,t)$$ $$\phi(\vec r,t)'=\phi(\vec r,t) - \...
3 votes
1 answer
536 views

Opacity/transparency of conductive meshes to charged particles (electrons/ions)

When using a conductive (metal) mesh, effectively a metallic woven fabric, in vacuum applications as a "grid" for charged particle optics, how does one calculate (or at least estimate) the opacity or ...
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1 answer
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Motion of a magnet inside a solenoid

I have a homework problem where a bar magnet is placed halfway inside a horizontal solenoid. A cut away shows that the magnet's north pole points to the left of the page and the south pole is outside ...
2 votes
1 answer
233 views

Conformal mapping and van der Pauw

I'm trying to understand the van der Pauw methods with my limited mathematical understanding. If any of my steps are wrong, please correct me. As far as I understood from a textbook (Mahan, Gerald D. ...
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2 answers
46 views

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 ...
2 votes
1 answer
273 views

How to derive magnetic moment for integrated circuit level?

Imagine we have a circuit on the xy-plane, with a random geometry (it just need to be closed). I want to calculate the magnetic moment of this setup: $$\vec{m} = \frac{1}{2} \int_V d^3 x' \vec{x}' \...
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About the notation for TEM waves

I just came across this article where the term "$\mathrm{TE}_{101}$ microwave mode" is mentioned. Other than the basics of TEM waves which I learned in Griffiths, this is the first time I ...
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Seeking Advanced Study Guidance in Electromagnetism [closed]

I hope this post doesn't break any community rules, I've tried to look for such but couldn't find. I am concluding my first undergraduate course in Electromagnetism next week. I am confident in my ...
4 votes
1 answer
810 views

What's the coordinate of the Landau tube?

The Hamiltonian of a three-dimensional electron gas in a static magnetic field $\vec{B}$ is : $$\hat{H}=\frac{(\hat{\vec{p}}+e\hat{\vec{A}})^2}{2m}$$ If choosing $\vec{B}=B\vec{e_z}$ and using Landau ...
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1 answer
261 views

How is the index notation for the electromagnetic potentials defined?

I don't understand, how the $\vec{A}$ potential is defined in the covariant formulation of the Maxwell-Equations. I am using the metric $(+,-,-,-)$. The electric field (SI-Units) is defined as: $$ \...
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1 answer
553 views

Lenz law - Direction of induced current

I understand the Lenz Law is such that it tells us that the induced current must be in a direction that makes the end of the solenoid facing the magnet behave as a North Pole to repel the magnet’s ...
1 vote
1 answer
74 views

How do I find the wavelength of an EM wave derived from an accelerating electron, given its acceleration?

I understand the Larmors formula, but I can't find any material regarding wavelength of a single photon.
1 vote
2 answers
163 views

How to solve Relativistic Lorentz Force equation if $\gamma$ is not constant?

I am trying to numerically obtain the trajectory of an electron inside a periodic magnetic field $\mathbf{B}$, taking into account that the relativistic factor $\gamma$ is not a constant (the electron ...
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1 answer
257 views

Motor Effect Experiment

I recently saw an demonstration (image below) where the motor effect was being shown. They used the fact that forces come in pairs (Newton's third law) and so when current goes through the copper rod, ...
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A question on perturbed flux function

Given a magnetic field $\mathbf{B}=B_{0}\left(\dfrac{xz}{z_{s}^{2}},\dfrac{yz}{z_{s}^{2}}, 1-2\left( \dfrac{x^{2}}{r_{s}^{2}}+\dfrac{y^{2}}{r_{s}^{2}}\right) -\dfrac{z^{2}}{z_{s}^{2}}\right)$ with the ...
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21 views

What is radial and axial component of magnetic induction of a coil? [closed]

I am sorry if my question is stupid, but can someone explain what are the radial and axial component of magnetic induction of a coil. I am reading an article about the magnetic field generated by coil....
2 votes
1 answer
290 views

Materials to complement "Interacting Electrons and Quantum Magnetism" by Assa Auerbach

Does anyone know of any material, such as lecture notes from a university, that can complement the sometimes brief chapters of the book "Interacting Electrons and Quantum Magnetism" by Assa Auerbach? ...

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