All Questions
Tagged with electric-fields dipole
116
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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 ...
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2
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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?
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102
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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 ...
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1
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53
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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 ...
2
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1
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105
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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:
$${\displaystyle {\begin{aligned}E_{\theta }=i{\frac {\zeta _{0}I\delta \ell }{4\pi }}\left({\frac {k}{r}}-{\frac {i}{...
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In General Relativity can electric field-induced tension in a Bose-Einstein Condensate reduce the energy needed to create an anti-gravitational field? [closed]
This is my theory showing how an electric field can create an anti-gravitational field. It is based on Einstein's General Relativity (GR), and the ability of an electric field to induce tension in ...
2
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2
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I can't seem to figure out a way to compute a gradient without reference coordinates
I'm not sure if this question is better asked here or in Mathematics but here it goes:
I'm studying electric dipoles, and this exercise I'm working on asks for the energy between 2 dipoles, given by $$...
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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 ...
9
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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:
$$\...
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Dipole potential and sphere grounded
Find the electrostatic potential arising from an electric dipole of magnitude $d$ situated a distance $L$ from the center of a grounded conducting sphere of radius $a$. Assume the dipole axis cross ...
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462
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Electrostatic potential of a dipole in a non-uniform field
There are numerous derivations for the potential energy of a dipole in a uniform field as:
$$
U = - \boldsymbol{p}\cdot\boldsymbol{E}
$$
But does this hold also for non-uniform fields? Are there any ...
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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 ...
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2
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139
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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. ...
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2
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268
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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 ...
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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 $U_{rot}= - \vec{p} \cdot \vec{E}$. ...