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-2 votes
0 answers
16 views

force on circular loop due to current in long wire [closed]

my first try is take element at a distance theta from R2 then write force equation and then integrate between -90 to +90 and similarly. but it is getting more complicated. anyone solve this question
0 votes
1 answer
33 views

Understanding Symmetries and Invariances in Electrostatic Fields [closed]

I'm currently studying electrostatics and I'm having trouble understanding the concepts of symmetries and invariances of electrostatic fields. I understand the basic definitions of symmetry planes and ...
3 votes
0 answers
52 views

Question about Fourier-coefficients in Griffith's Problem 3.15 (Electrodynamics) [closed]

I am having some trouble with problem 3.15 from Griffith's Electrodynamics. It states the following: A rectangular pipe, running parallel to the $z$-axis (from $-\infty$ to $+\infty$), has three ...
0 votes
2 answers
228 views

Electric potential infinite box

I have a question about separation of variables to calculate the electric potential. In the picture below the potential is only on the top of the box, which is infinite in the $z$-direction. What are ...
0 votes
0 answers
31 views

Need help identifying missing boundary condition in charge transport problem

The system I am considering consists of a conducting liquid sandwiched between two electrodes. The electrodes supply a constant flux of electrons $J_{ext}$. In the liquid there are also uncharged ...
0 votes
2 answers
75 views

Electric charge and cylinder

An electric charge is distributed with a uniform volume density $\rho$ in a cylinder with a radius $R$ and an infinite length. Our professor said the following: By symmetry, the electric field is ...
0 votes
1 answer
34 views

How to find the capacitance between two metal sheets [closed]

Let’s say I have two metal sheets in a 2D plane. The first one has area A, the second one is infinitely long, and they are separated from each other by a distance d. How can I find the capacitance ...
1 vote
1 answer
62 views

'Thin' conducting plate ambiguity

The situation at hand: We have an infinite, thin conducting, grounded ($V=0$) plate at $z=0$. Point charge (with charge +$Q$), at $z = a$. How exactly are the charges distributed? I used the method ...
1 vote
1 answer
63 views

Derivation of the ring charge from a disk charge with a hole

I am doing a problem in which I am given a uniformly charged disk, charge density $\sigma$, with radius $b$ and a concentric hole of radius $a$ in the $xy$ plane. A part of the problem I would have to ...
-1 votes
1 answer
44 views

Is the strength of the charge equal on all points on an equipotential surface? [closed]

Since the equipotential is calculated by $V = q\cdot \frac{k}{r}$ I suppose that the charge is the same at any point on an equipotential surface but I'm not sure.
0 votes
1 answer
117 views

Point charge between two infinite dielectrics [closed]

Two infinite linear homogeneous and isotropic dielectrics $\epsilon_1$ , $\epsilon_2$, occupy the regions $z>0$ , $z<0$ respectively. A point charge q is located at the origin. By applying the ...
1 vote
1 answer
93 views

Prove that the electrostatic potential is zero (Wald) [closed]

Let $V$ be a bounded region of space and let $\phi $ be an electrostatic potential that is source free in this region, so that $\nabla^2 \phi=0$ throughout $V$. Suppose that $x$ is lying on the ...
0 votes
1 answer
47 views

Trying to find the magnetic force applied by an infinite wire on a circuit both carrying different currents

The problem I'm trying to solve is: We have: An infinite wire carrying the current I and creating the magnetic field: $\vec{B}(M) = \frac{\mu_0I}{2\pi\rho}\vec{e}_{\phi}$ A square shaped loop ...
0 votes
1 answer
125 views

Force exerted by the southern hemisphere of a uniformly charged sphere on the northern hemisphere

I understand that this question has been asked multiple times before but my question is regarding something specific. I came across the following solution on the web: Since $\vec{E}$ is the field at ...
0 votes
1 answer
109 views

Multipole expansion along a ring [closed]

I'm supposed to calculate the behavior of the electrostatic potential $V$ at large distances $|r| \gg a$ for the following linear charge density along a ring of radius $a$: $$\rho(r,\psi, z) = \frac{q}...

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