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15 votes

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 ...
gandalf61's user avatar
  • 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 ...
trula's user avatar
  • 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's user avatar
  • 15.6k
2 votes

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 ...
safesphere's user avatar
  • 12.5k
2 votes

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, ...
Morgoth Bauglir's user avatar
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(\...
Er Jio's user avatar
  • 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 $(\vec{E},\vec{B})$...
Wild Feather's user avatar
1 vote

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, ...
PhysicsLover's user avatar
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 ...
ɪdɪət strəʊlə's user avatar
1 vote

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 ...
Bob D's user avatar
  • 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=-\...
Qmechanic's user avatar
  • 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 ...
Cuntista's user avatar
  • 180

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