All Questions
Tagged with equilibrium electrostatics
56
questions
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 ...
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/...
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 ...
-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 ...
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 ...
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 ...
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 ...
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:
$$q_1 + q_2 = q'_1 + ...
3
votes
2
answers
335
views
Points where electric field is zero when charges are present at vertices of a regular polygon
There is a $n$-sided regular polygon with a charge $q$ at each vertex. I know that there are $n$ points, other the center of the polygon, where the electric field is zero. But why is this so? Is there ...
0
votes
2
answers
393
views
What is the meaning of a conductor in equilibrium?
Electric field lines are always perpendicular to the surface of a conductor in equilibrium.
what is the meaning of a conductor in equilibrium?
0
votes
1
answer
76
views
Equilibrium of electrostatic potential
we often talk about the similarities between the temperature and the electrostatic potential. However, we do not know of exact analogue of the Heat diffusion equation $\nabla^2{T}=\alpha\frac{\partial ...
-2
votes
1
answer
73
views
Unstable Equilibrium of electric force [closed]
$q_1=8q$
$q_2=-2q$
There is a proton at $L$ and $2L$ distance from $q_2$ and $q_1$ respectively. At these distances net force is zero on proton. If we displace proton leftward both forces increases ...
0
votes
2
answers
307
views
Does the same point continue to be the neutral point when the system of charges start to move closer or away?
Consider two point charges $+q_1$ and $+q_2$ separated by a distance $r$. A charge $$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}_{...
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 ...
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 ...