All Questions
8
questions with no upvoted or accepted answers
1
vote
0
answers
55
views
Finding the equation of motion for vector potential $A_{\mu}$ in topologically massive electrodynamics
Essentially I want to vary the action
$$
S_M = \int d^3x \sqrt{-g} \left[- \frac{1}{4} F^{\mu \nu} F_{\mu \nu} - \frac{\alpha}{2} \epsilon^{\mu \nu \rho} A_\mu F_{\nu \rho} \right]
$$
with respect to $...
- 21
1
vote
0
answers
51
views
Equations of Motion for Hidden Photon
I was reading a paper called Parametrically enhanced hidden photon search by Peter Graham et al. In the paper, a Lagrangian that describes the theory of the hidden photon is
$$\mathcal{L}=-\frac{1}{4}(...
- 51
1
vote
0
answers
207
views
How to calculate the magnetic field of two cylinders when one of them is rotating
Given is the voltage U and the Angular velocity $\omega$. The rotating cylinder is inside the other cylinder and U is measured between them.
To calculate the magnetic field, I tried to solve
$\oint ...
- 23
1
vote
1
answer
536
views
Non-radiation charge density
For all $l,m$ but $l=0,m=0$, can we find $r_0,w_0$ such that the following charge distributions can represent a charge field that does not radiate:
$$
\rho(r,\theta,\phi) = \Re(c_{l,m} Y_{l,m}(\theta,...
- 371
1
vote
0
answers
106
views
Time dependance of oscillating sheet of charge
I am working on a practice problem involving maxwells equations. We have an infinite sheet of charge density $\sigma$ in the x-y plane and it is oscillating as x= $\Re [x_0e^{-i\omega t}]$. I want to ...
- 1,788
0
votes
0
answers
43
views
How to connect $x$, $y$ component of 2D electromagnetic wave equation?
I want to solve following Maxwell's equation.
$$
\triangledown ^{2}E+\frac{\omega^{2}}{c^{2}}E=0
$$
But, Electric field has x, y component in 2D geometry.
So, it will be
$$
\frac{\partial^{2} E_x}{\...
- 1
0
votes
1
answer
167
views
Amplitude of EM waves
I'm trying to calculate the Amplitude of electric field in the EM waves using the differential forms from maxwells equations.
I've been given frequency ($10^8$ Hz) and displacement current density ($...
0
votes
0
answers
128
views
Deduce magnetic field based on electric field
I'm learning Maxwell's electromagnetic equations and i can't wrap my head around this problem:
Given the volume $x\in [0,1], y\in [0,1], z\in [0,1]$, electric field $\vec E(x,y,z,t)$ and material ...
- 101