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Dec
12
comment Why doesn't the dark matter halo co-rotate with the luminous disk?
Makes sense. Yet something appears to act differentially on stars (compared with dark matter) so that the stars cluster nearer to the center. My thought was that they just form there.
Dec
12
comment Why doesn't the dark matter halo co-rotate with the luminous disk?
Is it the case that 1) gas interacts readily and so clusters at the center, 2) stars form from the gas, and hence also cluster there, 3) dark matter doesn't interact and stays far out? I ask because of this 2006 report which showed both stars and dark matter separating from gas in a galactic collision, indicating stars interact similarly to dark matter (?): news.discovery.com/space/…
Dec
11
comment What happens to orbits at small radii in general relativity?
$a$ is a distance that is proportional to the angular momentum $l$ per unit mass $m$ of the test body: $a=(l/m)/c$. This stuff is quite interesting, thanks!
Dec
10
comment Conservation of Charge and Method of Images
I'm actually not sure; your answer is well above my level of understanding. (Color me jealous!) The question is a bit difficult to understand; I think I finally worked it out.
Dec
9
comment Conservation of Charge and Method of Images
I don't think $q_{image}=-q_{external}$ in this geometry. Consider the case where the external charge is very far away compared to the sphere's radius: it won't take much image charge to balance the external charge's field.
Dec
9
answered Conservation of Charge and Method of Images
Dec
9
comment Maxwell's Correction to Ampere's Law
@ZAC: Re 2) I want to add that I am relying on superposition of sources: a) a set of fixed charges produces $\boldsymbol{E_l}$ (and crucially produces no magnetic fields), and b) a set of time-varying currents (with 0 charge density) somewhere off-stage produces the time varying $\boldsymbol{B}$ fields you specify, and hence $\boldsymbol{E_t}$. By superposition, you can add the two $\boldsymbol{E}$ fields to get the result. Superposition works because the equations are linear in the sources.
Dec
9
comment Maxwell's Correction to Ampere's Law
@ZAC: Ah, I think I understand your question a bit better now. 1) Yes, there's only one $\boldsymbol{E}$ in the equations; it's not different from one to the next. 2) You can decompose that field into "divergence-less" ($\boldsymbol{E_t}$, aka transverse) and "curl-less" ($\boldsymbol{E_l}$ aka longitudinal or irrotational) components, $\boldsymbol{E=E_t+E_l}$; the transverse element is zeroed by the divergence operator of Gauss law, and the irrotational element is zeroed out by the curl in Faraday's law. 3) Yes, it's possible to have exactly the same V function in the two cases.
Dec
9
comment Conservation of Energy in a Capacitor
@VincentTjeng: No problem! You're welcome.
Dec
8
answered Maxwell's Correction to Ampere's Law
Dec
8
answered Conservation of Energy in a Capacitor
Dec
8
answered Spin-orbit coupling constant for rubidium
Dec
8
revised Delta Dirac Charge Density question
corrected volume integral
Dec
8
answered Delta Dirac Charge Density question
Dec
6
awarded  Constituent
Dec
5
awarded  Talkative
Dec
1
revised Metal rod between a capacitor
added analysis.
Nov
30
answered Metal rod between a capacitor
Nov
30
comment electrostatic potential, analytic properties
@molkee: You're welcome.
Nov
30
answered electrostatic potential, analytic properties