All Questions
15
questions
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2
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66
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Potential of an electric dipole
I'm currently working my way through Griffith's Introduction to Electrodynamics (4th ed).
In chapter 3 section 4, he shows that we can take the equation for the electric potential of a continuous ...
0
votes
3
answers
124
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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 ...
- 25
0
votes
1
answer
359
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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 ...
- 980
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2
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64
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What does this variable coefficient represent of electric field of dipole?
$V:=\text{potential at point P}$
$V=\frac{2Qd\cos(\theta)}{4\pi \epsilon_{0}r^{2}}$
$E_{r}=-\frac{\partial V}{\partial r}$
$E_{\theta}=-\frac{1}{r}\frac{\partial V}{\partial \theta}$
The problem for ...
0
votes
1
answer
101
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Uniform electric field formation in motional emf induction
Why is the electric field $E$ across the ends of a conducting rod, when it's moved with a uniform velocity $v$ in a magnetic field $B$, uniform? Wouldn't it vary non-linearly, since there are opposite ...
- 256
1
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1
answer
358
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Electric field due to a dipole sheet
The potential due to a dipole sheet, $S$, having dipole moment density, $\vec\tau$ (per unit area), is given by
$$
\phi(\mathbf r) = \frac{1}{4\pi\epsilon_0}\int_S\frac{\vec\tau(\mathbf r')\cdot(\...
- 1,951
0
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2
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527
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Why is dipole potential independent of azimuthal angle?
In the formula for dipole potential in spherical coordinates, there is no dependence on azimuthal angle. I don't see why this is as by varying the azimuthal angle, i.e changing our position on the x y ...
- 1,525
0
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1
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662
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Approximation to the dipole of 2 infinite line charges
This is the question:
2 infinite line charges are located at distance $l$ and charged with linear charge density $\lambda $ and $-\lambda$. Find the electric field and the electric potential away ...
1
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2
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178
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Electric field and potential [duplicate]
Suppose we consider a point dipole i.e. an ideal dipole. At the origin the potential:
$$ \phi(\mathbf r) = \frac{1}{4\pi\epsilon_0} \frac{\mathbf p\cdot\hat{\mathbf r}}{r^2}$$
is undefined due to ...
- 163
1
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2
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13k
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How to calculate the dipole potential in spherical coordinates
I want to calculate the dipole potential in spherical coordinates. I know that the potential can be calculated with
$$ \phi = - \int \mathbf E \cdot\mathrm d\mathbf r,$$
but I don't know the electric ...
- 23
2
votes
2
answers
1k
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Why does the electric field strength for a dipole go as $1/r^3$? [duplicate]
I've been given the following graphic to help wrap my head around this.
If the potential can be shown to represent a $1/r^2$ relation, then I'm more than happy to accept that the electric field is ...
- 3,200
-1
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2
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3k
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Why does the electric field in a dipole cancel out at distances much larger than the separation of the two charges forming a dipole ($r \gg 2a$)?
The electric field of the electric dipole is not zero. Since the charge $q$ and $–q$ are separated by some distance, the electric fields due to them, when added, do not exactly cancel out.
However, ...
0
votes
1
answer
606
views
Dipole's electric field and potential at the equatorial plane
The potential at the equatorial plane of the dipole is $0$
Again,The E at point at the the equatorial plane of the dipole is $\frac{-p}{4\pi\epsilon r^{3}}$
But this link says:
Then,why do not work ...
user106015
0
votes
4
answers
274
views
How does $E = -\nabla V$ work for a dipole? [closed]
For a dipole, the potential is zero at any point on the perpendicular axis, but the electric field isn't zero along that axis. Now, how do I get $E$ from $V=0$ (at that point/axis) from the relation:
...
9
votes
6
answers
8k
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What is the origin of the Dirac delta term in the dipole electric field?
I am a bit lost how one has deduced the formula for electric field with electric dipole because of some inconsistency between different sources. The Wikipedia article contains a delta function in the ...
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