PART B:
In order to express my result in terms of the bolometric magnitude, wouldn't I first have to know what it is, which would require comparison with another number of stars of different luminosity, as per
m2-m1=-2.5log(L2/L1)?
Or I can use m_apparent = m_bol - 5(1-log(r))...but that...
So...since r is greater than or equal to √[L/(4πF]...the volume of the region of space defined by all points w/in that radius would simply be the volume of a sphere, (4/3)πr3.
N=nV=n*(4/3)πr3...and then just plug in r, which does contain F so N would be a function of F. Correct?
Er, I meant greater flux. I calculated the flux with r < sqrt[L/(4piF)] for N stars and just solved for N because that would give you the number of stars...? I honestly am clueless, I'm sorry. :\
That certainly makes sense.
I feel as though I'm still overcomplicating things, however.
That would mean the smaller flux is L/4π(√([L/(4πF)]))2??...multiplied by nV (= N) would give you the total smaller flux...F' = N4πF2/L, and then solve for N?
That's way too convoluted to be correct, haha.
QUESTION
A star of bolometric luminosity L at a distance r will exhibit a bolometric energy flux F given by
F = L/4πr2
in the absence of obscurity.
A. Assume that all stars have the same bolometric luminosity L and that stars are uniformly distributed in space with a number density n...
Lol I didn't ask for help to piss you off. What do you want me to do if I can't figure something out myself? I understand the forum rules, but if I needed help, I needed help, I don't care how stupid you think my question was (it was). Besides, not like I was asking anybody to solve it for me...
lol Is there a reason you're so reluctant to help?
E_M_C, that's really all the hint I needed! It's so simple, not sure why I didn't see that yesterday. Thanks. :)
[FONT="Times New Roman"][SIZE="3"]Homework Statement
A long coaxial cable consists of an inner solid cylinder, radius a, and an outer thin coaxial cylindrical shell, radius b. The outer shell carries a uniform surface charge density σ.
Find the uniform volume charge density ρ that the inner...