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0 votes
1 answer
77 views

Doubt regarding proof of Earnshaw's Theorem using Gauss's theorem

While proving Earnshaw's theorem using Gauss's theorem, we consider a small sphere surrounding our test charge, and apply Gauss law on this sphere, stating that field from all external charges must ...
Eisenstein's user avatar
0 votes
1 answer
65 views

Why charges reside only on the surface on conductor?

I wonder why charges reside only on the surface on conductor? And I read this question and the answer to it: Why charges reside on the surface on conductor? https://physics.stackexchange.com/a/210634/...
佐武五郎's user avatar
0 votes
1 answer
28 views

Equilibrium constellations of classical point charges in hollow conductors

As far as I know, in free space there can be constellations of $N$ point charges in electrostatic equilibrium (albeit unstable equilibrium) for all $N$ except $N=2$. Some discussions here already ...
Jos Bergervoet's user avatar
-1 votes
3 answers
59 views

Contradicting Basic and Force definitions of types of Equilibrium

This question is neither a check my work question and nor a homework question, it is a conceptual doubt in a question I found and I have attached a solution just for reference to show how I drew my ...
Ham Lemon's user avatar
  • 201
0 votes
0 answers
27 views

Repulsive charges in bounded potential

I'm interested in Centroidal Voronoi tessellation especially on disk. When I got these diagrams, I thought I saw something like this Looks like a relaxed distribution of identical charges inside the ...
lesobrod's user avatar
  • 163
0 votes
0 answers
36 views

Equilibrium position of $ n $ free charges as polynomials roots

The classic problem of the electrostatic equilibrium positions of a linear system of $ n $ free unit charges between two fixed charges is well known, here an example with $n = 1$. Few days ago I found ...
user967210's user avatar
0 votes
1 answer
41 views

Charge distribution on a discharged conductor

Question I am trying to prove that given a conductor with zero net charge on it then the charges necessarily distributes on its surface so that the density is zero at every point. We can assume the ...
Matteo Menghini's user avatar
0 votes
1 answer
76 views

How will the charges redistribute among the 2 charged balls with different materials and different radius when they are touched?

How will the charges redistribute among the 2 charged balls with different materials, different radius when they are touched? If the 2 balls have the same material, then we have: $$q_1 + q_2 = q'_1 + ...
KayT's user avatar
  • 3
3 votes
2 answers
335 views

Points where electric field is zero when charges are present at vertices of a regular polygon

There is a $n$-sided regular polygon with a charge $q$ at each vertex. I know that there are $n$ points, other the center of the polygon, where the electric field is zero. But why is this so? Is there ...
Wizard0001's user avatar
0 votes
2 answers
393 views

What is the meaning of a conductor in equilibrium?

Electric field lines are always perpendicular to the surface of a conductor in equilibrium. what is the meaning of a conductor in equilibrium?
Physics Ed's user avatar
0 votes
1 answer
76 views

Equilibrium of electrostatic potential

we often talk about the similarities between the temperature and the electrostatic potential. However, we do not know of exact analogue of the Heat diffusion equation $\nabla^2{T}=\alpha\frac{\partial ...
kolahalb's user avatar
-2 votes
1 answer
73 views

Unstable Equilibrium of electric force [closed]

$q_1=8q$ $q_2=-2q$ There is a proton at $L$ and $2L$ distance from $q_2$ and $q_1$ respectively. At these distances net force is zero on proton. If we displace proton leftward both forces increases ...
cOnnectOrTR 12's user avatar
0 votes
2 answers
307 views

Does the same point continue to be the neutral point when the system of charges start to move closer or away?

Consider two point charges $+q_1$ and $+q_2$ separated by a distance $r$. A charge $$q_0 ≠ -\frac{q_1q_2}{(\sqrt{q_1}+\sqrt{q_2})^2}$$ (n.b. the equality holds only when $$\vec{F}_{net,q_1} = \vec{F}_{...
S Das's user avatar
  • 312
0 votes
1 answer
341 views

Equilibrium of a system of charges

Suppose three positively charged particles are constrained to move on a fixed circular track. If the charges were all equal, an equilibrium arrangement would obviously be a symmetrical one with the ...
LSS's user avatar
  • 980
2 votes
4 answers
489 views

If we have a net negative charge in a spherical conductor, why negative charges goes to the surface?

So imagine that we have a set of net negative charges, in physics books they said that this set of charges goes to the surface because they repel each other in such a way that this reach to an ...
maenju's user avatar
  • 129

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