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3 votes
1 answer
1k views

Do magnets attract magnetic materials by inducing magnetism in them?

Here are 2 concise excerpts from a book I have been reading:- 1.A permanent magnet produces its own magnetic field. An induced magnet is a material that becomes a magnet when it is placed in a ...
0 votes
0 answers
63 views

What does it mean by "physical field"?

I'm attempting a question about the Stern-Gerlach experiment where an electron is used with an assumed up-spin state in a non-uniform magnetic field. It asks us to talk about the dynamics of this ...
14 votes
4 answers
5k views

Why are EM plane waves transverse?

I was reading Griffiths' Introduction to Electrodynamics, specifically Section 9.2.2 on plane waves. I can see that if we want a transverse wave traveling in the $z$ direction that we are only going ...
1 vote
0 answers
18 views

EMF generation by rotating rod without magnetic field [closed]

what is the EMF generated by a conducting rotating rod of mass $m$ and length $l$ in free space without magnetic field. the rod is roating with angular speed $w$? also find the current if the rod has ...
0 votes
1 answer
34 views

How to find the capacitance between two metal sheets [closed]

Let’s say I have two metal sheets in a 2D plane. The first one has area A, the second one is infinitely long, and they are separated from each other by a distance d. How can I find the capacitance ...
0 votes
2 answers
129 views

Electromagnetism [closed]

A positively charged particle travels horizontally northward and enters a region where a field may exist. This region may contain only a magnetic field, only an electric field, or both a magnetic ...
2 votes
2 answers
151 views

Derivation of propagator for Proca action in QFT book by A.Zee

Without considering gauge invariance, A.Zee derives Green function of electromagnetic field in his famous book, Quantum Field Theory in Nutshell. In chapter I.5, the Proca action would be, $$S(A) = \...
0 votes
0 answers
54 views

Where does the $\eta^{\mu\nu}$ come from? (Maxwell Lagrangian, QFT) [duplicate]

From the Lagrangian in Maxwell theory $$L = -\frac{1}{2}(\partial_{\mu} A_{\nu})(\partial^{\mu} A^{\nu}) + \frac{1}{2}(\partial_{\mu}A^{\mu})^2 - A_{\mu}J^{\mu}$$ I have to calculate $\frac{\partial L}...
0 votes
1 answer
140 views

Dummy index question

The Maxwell's Lagrangian density is given by the equation, $$\mathcal L = -\frac{1}{4} \space F_{\mu\nu} \space F^{\mu\nu},$$ where $F^{\mu\nu} = \partial^\mu A^\nu - \partial^\nu A^\mu$. Hence, one ...
2 votes
1 answer
65 views

Canonical electromagnetic stress-energy-momentum tensor

I have canonical electromagnetic stress-energy-momentum tensor defined as: $T_{\mu\nu}=\frac{1}{4}\eta^{\mu\nu}F_{\alpha\beta}F^{\alpha\beta}-F^{\mu\lambda}F^{\nu}_{\,\,\lambda}-F^{\mu\lambda}\...
0 votes
2 answers
176 views

Building Lagrangians for Classical Field Theory

I've been studying quantum mechanics and classical field theory for quite a while now. However, I still struggle with the idea of building scalars from vectors and tensors for the Lagrangian density. ...
1 vote
0 answers
92 views

Relativistic equations of motion in uniform electric field through matrix exponentiation

For my undergraduate studies, I was faced with the problem of finding the equations of motion for a particle subject to a uniform electric field, in the relativistic case. I would like to follow the ...
6 votes
3 answers
2k views

What property of light allows it to propagate in space? [closed]

I got this question in a university entrance exam; I'm not sure what could've been the answer. I've scoured the web and could hardly find a decent answer. The question and choices were: What property ...
-2 votes
1 answer
76 views

Where is this circular loop attracted? [closed]

A circular loop carrying current "I" in anti-clockwise direction is placed between two straight and parallel wires each carrying current I. Ignoring the force of the straight wires on each ...
2 votes
1 answer
192 views

Dot product of the electric and magnetic field as the contraction of the electromagnetic tensor and its dual

I've see in some examples, e.g. here, that $$-4i\vec{E}\cdot \vec{B}=\tilde{F}_{\mu\nu}F^{\mu\nu}$$ How would you show such a relation? By inserting terms by terms inside this equation I've seen it is ...

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