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8 votes
3 answers
4k views

Electric field due to a hydrogen atom

Electric field due to two opposite charges According to the answers in the previous questions, if you separate the two charges from each other, they will produce a non-zero electric field ...
Utkarsh Sharma's user avatar
-4 votes
1 answer
95 views

What does $e$, $i$ and $\vec{p}$ mean in this formula? [closed]

I've found a formula to calculate the $\vec{E}$-field vector of a Hertzian dipole in the far field (don't know if that's the correct term) to draw and simulate the field lines. Link to my source: ...
Simon Trakis's user avatar
0 votes
2 answers
1k views

Why is parallel dipole to electric field is stable equilbrium

For a dipole making $0$ degree angle with field and for making $180$ degrees it is stable and unstable equilibrium respectively. Why?
Anurag singh's user avatar
3 votes
1 answer
3k views

Dipole Inside Cavity of A Spherical Conductor

Consider the following case: There is a short electric dipole placed arbitrarily inside a spherical cavity inside a solid,uncharged conducting sphere We need to find electric field at a point ...
user226375's user avatar
0 votes
1 answer
87 views

Is there an electric field in a poled piezoelectric crystal at rest?

From my understanding, after a piezoelectric crystal is poled, all the dipoles are roughly aligned inside it, so that the piezoelectric effect is not negligible. However, wouldn't that result in a ...
sebasket's user avatar
2 votes
1 answer
122 views

Integrand discontinuity of surface integral of electric field of dielectrics

I am reading an article here on dielectrics Equation $(4.10)$ is: $$\Phi(\mathbf{r})=\dfrac{1}{4\pi \epsilon_0}\int_{V} \dfrac{d^3r'}{|\mathbf{r}-\mathbf{r'}|} [\rho (\mathbf{r'})\ -\nabla'.\mathbf{...
Alfred's user avatar
  • 31
0 votes
1 answer
662 views

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 ...
Lin Sinorodin's user avatar
1 vote
1 answer
530 views

Spherical wavefronts from a linear electric dipole-antenna

We are given the equation \begin{equation*} \vec{E}=\hat{u}_\theta\ p_0 \sin{(\theta)}\frac{k^2}{4\pi\varepsilon_0r}\sin{(kr-\omega t)}~, \end{equation*} that describes the far field radiated ...
Henri Södergård's user avatar
1 vote
2 answers
178 views

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 ...
Manoj Ghosh's user avatar
1 vote
1 answer
2k views

Torque on dipole in a non-uniform electric field [duplicate]

What happens when an electric dipole is kept in a nonuniform electric field?
AR Roy Apramit's user avatar
0 votes
1 answer
3k views

Radial vs tangential component of electrical field due to dipole

I was wondering that why should the maximum magnitude (with respect to $\theta$) of radial component of electrical field of an electric dipole, $$E_r=-\partial V/\partial r=\frac{2p \cos\theta}{4\pi\...
Rohit's user avatar
  • 245
0 votes
0 answers
56 views

Paradox in conservation of energy

Let us assume there is a constant electric field in an interested region (finite volume)and a non-conducting object is thrown into it with speed $v$ and now take the second scenario with the same ...
Ashley Chraya's user avatar
0 votes
1 answer
231 views

Why does a ionic crystal polarize more at low frequencies rather than at high ones?

And if there was a difference if the propagational mode of the electric field in the crystal is longitudinal or transverse.
Costantino's user avatar
0 votes
2 answers
251 views

Question about Optical tweezers working principle

Why do particles on the periphery of the laser beam in optical tweezers apparatus drift to the center of the beam? What force pattern causes this pull to the center?
Sahas's user avatar
  • 107
0 votes
1 answer
49 views

What is the mechanism by which light induce polarity in tiny particles?

I understand that the electric field in light induces polarity in tiny microparticles for example. Can someone explain the mechanism of how the vibrating electric field in light induces a dipole ...
Sahas's user avatar
  • 107

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