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Electrostatics is concerned with the electrical fields and scalar potentials of stationary electrical charges and charge distributions. Use this for questions about electromagnetic situations in which currents and magnetic fields are absent, otherwise use the [electromagnetism] and/or [magnetic-fields] tags.

0 votes
2 answers
104 views

Is it possible to have an (electrostatic) equipotential surface being crossed twice by an el...

Lets say I have an elctric field produced by two point charges (not necessarely a dipole), intuitevely it seems to me that it is not possible to have an equipotential closed surface being crossed twic …
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1 vote
1 answer
2k views

Finding electric field, electric displacement and polarization inside the dielectrics of a c...

A coaxial cable (infinite) is filled in with two dielectric materials. The core conducting cylinder has radius $a$ and is surrounded by a dielectric material $1$ with dialectric constant $\kappa_1$ …
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0 votes
1 answer
1k views

About induced surface density of charge in a dielectric

In electrostatic conditions does it make sense to have a dielectric material with a non-zero induced surface density of charge at one surface and no induced surface charge density at the opposite surf …
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0 votes

Electric potential for a continuous charge distribution

I think your last equality should be interpreted more as an aproximation than as an equality if you're dealing with a macroscopic object but its quite accurate if the distance from the object where yo …
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2 votes
1 answer
552 views

Understanding the proof for uniqueness of solutions (Poisson's equation)

We assume there are two functions $V_1$ and $V_2$ satisfying Poisson's equation and the same boundary conditions, and we define $U=V_1-V_2$, then: $$\nabla^2U=\nabla^2V_1-\nabla^2V_2=0$$ Now, lets say …
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1 vote
3 answers
1k views

When we apply Gauss's law should we consider also the charge over the gaussian surface?

Lets say I have a coaxial cable, the internal material cylinder has radius $a$ and uniform volumetric charge density $\rho$, the external shield cylinder has radius $b$ and uniform superficial charge …
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2 votes
1 answer
509 views

Is it reasonable to have a discontinuity on the surface charge density?

In the problem that I'm working on, there is a spherical capacitor with charges $Q$ and $-Q$ over the inner and outer surfaces respectively and half of it is filled with a dielectric with permitivity …
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