Can Volume and Linear Charge Densities Be Interchanged in Calculations?

AI Thread Summary
The discussion focuses on the interchangeability of volume charge density (ρ) and linear charge density (λ) in calculations involving cylindrical geometries. It questions whether the relationship r(enclosed) = λh can be adapted to r(enclosed) = ρh. Additionally, it explores whether the electric field (E) inside a cylindrical Gaussian surface equals the electric field of the entire cylinder when the charge distribution is uniform. The conversation also seeks clarification on whether the enclosed charge (q) is equivalent to the total charge (Q(total)). Understanding these concepts is crucial for applying Gauss's law correctly in electrostatics.
MtHaleyGirl
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OK, I may be out of my league here so feel free to let me know (in a nice way please) but conceptually & every other way I can come up with, I am trying to put together volume charge density, linear charge density and surface charge density ... for example in my text it says that in terms of a cylinder r(enclosed)=λh where λ is linear charge density and r is the radius of a cylinder - can I interchange ρ (for volume charge density) and λ such that r(enclosed) = ρh? - AND if I have a uniform charge distribution and I use a cylindrical gaussian surface enclosed in a larger cylinder (r for the gauss. cyl. < R -- the whole cylinder) does E(enclosed in the gauss. cyl.) = E as in the whole cylinder? Thats what Gauss's law is saying?? right?? and is q (enclosed) the same as Q(total)? ---- Thanks for any help - trying not to be a physics flunky ---- :shy:
 
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