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Dipole moment is the electrostatic moment generated by two opposite charges taken together, far away from the charge's locations

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Modeling a pure dipole as a function similar to a Dirac delta function

The (distributional) derivative of the delta function does what you want. By definition, $$ \int \mathrm dx \ \delta'(x)f(x) = -f'(0)$$ which is motivated by the standard integration by parts formula. …
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3 votes
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Griffiths Multipole Expansion and $Q$ going to zero

If $\int f(x) dx = 0$, that does not imply that $\int g(x) f(x) dx = 0$ for some other function $g$. Similarly, "the total charge is zero" means that $\int \rho(\vec r') d^3r' = 0$. This certainly d …
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11 votes

Is there an electric dipole moment in an electron?

The reason we believe the electron to be an elementary particle is precisely because people do high precision tests like the one you reference, looking for some kind of sub-structure which would indic …
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2 votes
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How do I graph a magnetic field?

$M$ is a measure of the strength of the dipole field. In SI units, $M= -8\times 10^{15} \ T m^3$, where $T$ stands for "teslas" and $m^3$ means "meters cubed". If you only want to know what the fi …
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