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0 votes
1 answer
2k views

Electric field outside a conductor

Say there is a conducting cylinder in a uniform external field. The charges on the cylinder surface will distribute and create a surface charge density. Is there any reason the charge density would ...
2 votes
2 answers
227 views

Dipoles as vectors

A triatomic molecule $X_2Y$ has plane structure as shown in figure. Due to difference in electronegativity, charge acquired by each X atom is $q$ and charge on Y atom is $- 2q$. The bond length ...
1 vote
2 answers
66 views

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 ...
2 votes
2 answers
378 views

Dielectric and dipole

When a molecule of a dielectric material is placed in an electric field, the molecule acquires an electric dipole moment. Why?
0 votes
0 answers
17 views

Time average of product of 2 function with same frequency

Hi I'm Reading a notebook on "light atom interactions" There is this calculation I don't understand of average power - $$P=\overline{-\boldsymbol{E} \cdot \frac{\mathrm{d} D}{\mathrm{~d} t}}=...
-1 votes
3 answers
78 views

Why can't the two charges in an electric dipole exist independently in an uniform electric field?

Why can't the two charges in an electric dipole exist independently in an uniform electric field? What I mean is, why should they behave as if they are connected together by a rod between them? What ...
2 votes
0 answers
57 views

Do neutral atoms have an electric field? [duplicate]

The charge of an atom is the sum of its nuclear charges (protons and electrons). If a atom is neutral, does it mean it does not have an net electric field? I thought about this a lot, here is some of ...
14 votes
3 answers
7k views

Is there an electric field around neutral atoms?

Even if the atom is neutral (equal numbers of protons and electrons), the electrons and nucleus form an electrical dipole, so there is still an electric field around them, even though the total charge ...
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 ...
0 votes
1 answer
68 views

What's the Lagrangian of an electric dipole in an external electric field?

I took electromagnetism a while ago, but now that I took Lagrangian and Hamiltonian mechanics, this question came up to me when I imagined an electric dipole in the presence of a uniform electric ...
0 votes
1 answer
36 views

How did the scientist measure the dielectric constant? Does the dielectric constant relate to an alignment with the electric field?

I heard that the dielectric constant of water is around 78. When we think about the way we get the $\kappa$ of water, Can we get the $\kappa_{water}$ by putting the water molecules on the $\vec{E}_{...
0 votes
1 answer
435 views

Doubt in the interaction energy of the dipole in an electric field

Consider a dipole ($\vec{p}$) in an electric field ($\vec E$) making an angle $\theta$ with the field. We can see that $V_1-V_2=Ed\cos\theta$ In books, the derivation for the interaction energy of ...
1 vote
2 answers
732 views

What does "weak-field limit" mean when it refer to dipole and atomic polarization?

In Griffiths' book, Introduction to Electrodynamics 3rd, problem 4.3,it requires me to find the condition on ρ(r) such that equation $p = αE$ will hold in the weak-field limit. The answer gives $ρ(r)=...
1 vote
1 answer
96 views

Potential energy of an electric dipole without any external field

What is potential energy of an electric dipole without any external field? If its 0 then why? Wouldn't the charges get attracted thus do work so they must have some potential energy.
1 vote
2 answers
71 views

$\vec{E}$-field in toroidal polarized dielectric

In an electrostatic situation, imagine a dielectric torus that is permanently polarized with polarization given by: $\vec{P} = P(r, z) \hat{\phi}$ (Here cylindrical coordinates are used with the $z$-...

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