15
votes
Accepted
How is Law of Conservation of Charge valid if protons and electrons are destroyed in a system?
The law of conservation of charge says that electrical charge cannot be created or destroyed.
I think this is a confusing way of describing charge conservation. The law of conservation of charge says ...
- 47.4k
4
votes
Are two oppositely charged black holes, matter & antimatter?
Antimatter of charged particles have the opposite charge. But this does not say that opposite charged matter is antimatter. just take not a black hole but a normal piece of matter you can charge two ...
- 6,023
3
votes
Total bound charge equal to zero (proof)
The total bound charge on a body $\Omega$ (with boundary $\partial\Omega$) is obviously the sum of the bound surface and bound volume charges,
$$Q_{b}=\int_{\Omega} dV\,\rho_{b}+\int_{\partial\Omega}...
Buzz♦
- 15.6k
2
votes
Accepted
Are two oppositely charged black holes, matter & antimatter?
Black holes are objects of the classical theory of General Relativity. There are no quantum particles or antiparticles in this theory. So there is no such a thing as an “anti-black-hole”.
The No-Hair ...
- 12.5k
2
votes
Accepted
Why doesn't the frequency of a cyclotron make an impact on the radius of the path of a charged particle?
As you note, the cyclotron frequency does not depend on the velocity. So an increase in perpendicular velocity does not translate into an increase in the cyclotron frequency, as you suggest. Instead, ...
1
vote
Why is the potential due to induced charges constant?
From Gauss's law for the point charge (eq. 3):
$$\nabla^2\phi_{\mathbf y}(\mathbf x) = 2\pi q\cdot\delta(\mathbf x - \mathbf y)$$
This is symmetrical in $\mathbf x$ and $\mathbf y$ since $\delta(\...
- 725
1
vote
How charge interact with mass?
In short, particles are entities, you cannot separate the mass of a particle from its charge. If you have a charged particle with charge $q$ and mass $m$ in an electromagnetic field $(\vec{E},\vec{B})$...
- 297
1
vote
Accepted
Increasing order of charge/mass ratio for electron, proton, alpha-particle and neutron
Although charge can be either positive or negative, when we are considering charge is to mass ratio, it essentially means "the amount of charge concentrated by the body per unit mass" so, ...
- 75
1
vote
Quantization of charge from the path integral
First, let me rewrite the conserved current as a one-form, $j = j_\mu \mathrm{d}{x^\mu}$. This allows me to rewrite the charge as
$$Q[\Sigma] = \int_\Sigma \star j,\tag{1}$$
where $\Sigma$ is any ...
- 4,444
1
vote
Accepted
Why don’t charge carriers constantly accelerate in an electric circuit?
So my question is: how come the charge carriers don’t accelerate
constantly? Is there some kind of balancing force that keeps them at a
constant drift velocity?
The charge carriers alternatively ...
- 69k
1
vote
About variational principles
Concerning OP's example: The Euler-Lagrange (EL) equation for the energy functional $E[\phi]=\int\!d^3x\left( \frac{\epsilon_0}{2}(\nabla\phi)^2 -\rho\phi\right)$ is Poisson's equation $\nabla^2\phi=-\...
- 196k
1
vote
Total bound charge equal to zero (proof)
In a conductor the electrons are nearly free to move in the surface and thus constituing electric current while in dielectric materials the electrons are bound in molecules and at most the molecules ...
- 180
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