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Point charge in front of dielectric boundary value problem method of images

Original link to the problem: https://photonics101.com/dielectrics/the-precessing-dipole-molecule.html According to their setup, I have: $\phi_2=\frac{1}{4 \pi \epsilon_2}\left(\frac{q}{R_{-}}+\frac{q'...
Emily Xin's user avatar
2 votes
1 answer
319 views

Confusion with Wikipedia's derivation of electric field for continuous charge distributions

Here is the page. My confusion rises from $\textbf{r}'$, exactly from: $\mathbf{r}'$ is the displacement vector from $\mathbf{r}'$ to $\mathbf{r}$. Does it mean we're taking $\mathbf{r}'$ as origin?
zaknenou's user avatar
0 votes
1 answer
67 views

Method of images for an infinite half plane [duplicate]

When applying the method of image charges, is it necessary for the conducting half-plane to be grounded? If the conductor is not grounded, under what conditions can we still justify the use of this ...
Xirven's user avatar
  • 405
1 vote
1 answer
89 views

Charge induced inside a spherical conductor with a patch removed [closed]

When solving some problems meant for high school students, I came across this A thin conducting shell of radius $R$ has surface charge density $\sigma$. A small aperture is made by removing a ...
Random coder's user avatar
5 votes
3 answers
1k views

How can capacitance exist if a vacuum is used as a dielectric?

As we know, the capacitance is due to arrangement of electric dipoles of the molecules/atoms between the two plates of a capacitor. I read that: if a capacitor (with material medium) is placed in a AC ...
Rajesh R's user avatar
  • 195
0 votes
1 answer
32 views

Connecting one plate of charged capacitor to ground

Lets say I have a parallel plate capacitor of capacitance $C$. I charge it to a potential $V$ using a battery. now I disconnect the battery and the capacitor is supposed to have charges $CV$ and $-CV$ ...
Dev Not Taken's user avatar
-1 votes
1 answer
73 views

Intensity of electric field [duplicate]

Intensity of electric field at a point is defined as the force felt by a charge at that point due to the charge creating that field. Why then do we divide the force from Coulomb's law by the charge? ...
Ecstacy's user avatar
0 votes
3 answers
90 views

How to compare the voltage of EMF source in an open circuit and a close circuit?

This diagram seems to assume that a charge inside an emf has two opposite forces which are non electrostatic and electrostatic force. When the circuit is closed, the former one will remain constant, ...
kjhhgt76's user avatar
5 votes
5 answers
663 views

Finding electric field from finite object using Gauss law

Gauss's Law is a powerful tool for calculating electric fields and flux, particularly when there's symmetry, such as in the case of infinite charge distributions. For example, we can easily calculate ...
DEEPAK's user avatar
  • 61
2 votes
0 answers
145 views

Electric field intensity on the tip of a hemispherical shell, not the centre [closed]

I am trying to calculate the electric field at the tip of a hemispherical shell, not the centre of it, but the zenith, the top of the cap...There is no solution of it anywhere online. I've already ...
K. Utkarsh's user avatar
-1 votes
1 answer
77 views

Can I produce a continuous negative static charge in a material?

I'm trying to come up with a way to produce a negative static charge in a material. I already know there are various materials that can more easily hold a negative charge, and I could produce one ...
Ryan McGarity's user avatar
0 votes
1 answer
82 views

Direction of the electric field caused by an infinitely long wire

Just a small question. How do you determine the direction of the electric field caused by a infinitely long wire. I'm following this lecture as reference: MIT8021E2018-V004900. It's quite different ...
Duck Gia's user avatar
0 votes
2 answers
125 views

What is electric flux? What does it signify? [closed]

I have already gone through Why do outside charges not contribute to net flux through a surface, pt 2 Gauss' law and an external charge Electric Flux - What is the point? and many other similar ...
Ranvir Choudhary's user avatar
1 vote
1 answer
62 views

Is $ A_1 E = A_2 E \cos\theta $ only valid if $ E $ is uniform across the surface?

In the context of electric flux, the relation $$ A_1 E = A_2 E \cos\theta $$ is often used when analyzing how an electric field passes through a tilted surface, as shown in the diagram below: However,...
j.primus's user avatar
  • 123
0 votes
1 answer
95 views

Electric field only due to point charge

Consider a point charge situated near a spherical conductor. I understand that the net electric field inside the conductor is zero. However, is the electric field only due to the point charge zero or ...
Ee Kin Chan's user avatar

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