Skip to main content

All Questions

Tagged with
0 votes
3 answers
124 views

How do I renconcile electric potential and field of a dipole along its perpendicular bisector?

It's been a while since I've studied electrostatics and is my first time posting here, so please forgive me if I'm missing something basic. According to my reference book, the electric potential of a ...
Swik's user avatar
  • 25
0 votes
2 answers
99 views

When deriving work from an uniform electric field and dipole why do we need to integrate it?

If the force is constant in a uniform field wouldn't that mean you dont need to integrate to find work?
user avatar
1 vote
1 answer
102 views

A rigorous derivation of the EOM for a charge in a dipolar field

I've given the following question (and solution) to a class I am TAing for. The question is from Zangwill (Prob 4.5) and, for further reference, Zangwill cites R.S. Jones, American Journal of Physics ...
EE18's user avatar
  • 1,095
1 vote
1 answer
53 views

The intepretation of $d$ in $p=qd$

In Griffiths Example 4.1, the author derived the polarizability of a uniformly charged spherical cloud with radius $a$. For an external field $E$, the electron cloud will shift to the left with a ...
Lab's user avatar
  • 123
2 votes
1 answer
105 views

What is the $\frac{1}{r^2} $ term in the electric field of a Hertzian dipole equations?

Taking common equation for the electric field of a Hertzian dipole from Wikipedia: $${\displaystyle {\begin{aligned}E_{\theta }=i{\frac {\zeta _{0}I\delta \ell }{4\pi }}\left({\frac {k}{r}}-{\frac {i}{...
Lewis Kelsey's user avatar
-5 votes
1 answer
239 views

In General Relativity can electric field-induced tension in a Bose-Einstein Condensate reduce the energy needed to create an anti-gravitational field? [closed]

This is my theory showing how an electric field can create an anti-gravitational field. It is based on Einstein's General Relativity (GR), and the ability of an electric field to induce tension in ...
Construct's user avatar
2 votes
2 answers
80 views

I can't seem to figure out a way to compute a gradient without reference coordinates

I'm not sure if this question is better asked here or in Mathematics but here it goes: I'm studying electric dipoles, and this exercise I'm working on asks for the energy between 2 dipoles, given by $$...
HGCMF's user avatar
  • 23
1 vote
0 answers
33 views

What is the shape of the electric field lines of a pair of newly formed charged particles?

I am trying to visualize the field lines of the spontaneous creation of a pair of oppositely charged particles. Initially, I imagined that they would look like those of a dipole with the two charges ...
user avatar
9 votes
1 answer
922 views

On Problem 2.2 in Griffiths' Introduction to Electrodynamics

In part (a) we were asked to find the electric field at a distance $z$ above the midpoint between two equal charges of magnitude $q$ that are a distance $d$ apart. I obtained the correct answer: $$\...
Ambica Govind's user avatar
0 votes
1 answer
359 views

Dipole potential and sphere grounded

Find the electrostatic potential arising from an electric dipole of magnitude $d$ situated a distance $L$ from the center of a grounded conducting sphere of radius $a$. Assume the dipole axis cross ...
LSS's user avatar
  • 980
0 votes
2 answers
462 views

Electrostatic potential of a dipole in a non-uniform field

There are numerous derivations for the potential energy of a dipole in a uniform field as: $$ U = - \boldsymbol{p}\cdot\boldsymbol{E} $$ But does this hold also for non-uniform fields? Are there any ...
user246795's user avatar
0 votes
0 answers
124 views

Line integral across perfect dipole

In problem 4.7 of Griffiths' "Introduction to electrodynamics, 4th Edition", we are asked to find the potential energy of a dipole in an electric field, $\vec{E}$. In the solution, the ...
user246795's user avatar
1 vote
2 answers
139 views

How does zero electric field look like?

Imagine if we have an electric dipole inside a cube (a conductor). The net electric charge inside the cube is zero. Hence, using Gauss's law, the net electric flux coming out of the cube must be zero. ...
Swami's user avatar
  • 1,867
0 votes
2 answers
268 views

Direction of electric field

When we place a positive test charge near a positive charge, it moves away from it. If there is a negative one instead, it follows a curved path. That is, the field of positive charges originates from ...
cOnnectOrTR 12's user avatar
2 votes
0 answers
47 views

Energy of dipole using the electrostatic energy of all of space

I was watching my online lecs, and we were considering the electrostatic energy of a dipole. First, doing the torque-in-uniform-field calculations, and derived that $U_{rot}= - \vec{p} \cdot \vec{E}$. ...
Varad Mahashabde's user avatar

15 30 50 per page
1
2
3 4 5
8