Recent content by zSanityz

  1. Z

    Perception of Sound: Bicycle Rider & Car Horn

    Think about the sound waves like longitudinal waves, with different concentrated points a certain distance from each other. The distance between these waves is what determines the pitch, closer = higher and farther = lower. Now if these waves are moving toward a person who's moving away from...
  2. Z

    Pretty much worked out, but stuck Gauss' Law problem

    When I think about it, your answer does look and seem more correct, and... ohhh, I forgot to subtract cos0!, lol. Thank you once again. ^-^ <3
  3. Z

    Pretty much worked out, but stuck Gauss' Law problem

    Wonderful! :D Also, if I messed up somewhere it would've been with the \int_0^R e^{-r/a} r^2 dr, and that just becomes the 2a^3 - e^{-R/a}(a R^2 + 2 a^2 R + 2 a^3) after an s=-r substitution, and then integrating by parts twice to get e^{s/a} alone in an integral, correct? ^-^ By the...
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    Pretty much worked out, but stuck Gauss' Law problem

    Lol, I've only done Calc I. :X But wow! I had no idea you could do that with the integrals, that makes it MUCH more understandable. :D That was my main problem for sure, though after working through it that \int_0^R e^{-r/a} r^2 dr was a little tricky, but I think I got it figured. ^-^...
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    Pretty much worked out, but stuck Gauss' Law problem

    Sorry, I just wasn't grasping it (still not sure if I am). I'm not familiar on how to integrate variables in terms of other variables (i.e integrating \phi in terms of r and vice versa), it's just something that wasn't possible in calc I. If it was deriving, you'd simply make it a derivative...
  6. Z

    Pretty much worked out, but stuck Gauss' Law problem

    Alright, still all sounds fairly confusing, but I'm going to try to work through it on paper, and I'll post what I get. (still all seems a bit tough for calculus based physics 1 :( ) Feel free to post any other suggestions or comments if anyone has one, they all help! <3's
  7. Z

    Pretty much worked out, but stuck Gauss' Law problem

    Pretty much worked out, but stuck! Gauss' Law problem Homework Statement "Consider a charge density distribution in space given by \rho = \rho_0 e^{-r/a}, where \rho_0 and a are constants. Using Gauss' Law, derive an expression for the electric field as a function of radial distance, r...
  8. Z

    From Charge Density -> Electric Field(r) using Gauss

    Lol, well like I said, I haven't quite grasped integrating in physics. Math is easy since variables there don't usually actually stand for anything. I have made some mistakes in the past in this area, and usually learn from them best by seeing the correct answer and being able to compare mine to...
  9. Z

    From Charge Density -> Electric Field(r) using Gauss

    Ahh, alright, I'll try that! Thanks. Though this is my worst subject in physics (though you can probably tell? :( ) and I'm REALLY bad at integrating in physics, great at it in math, but have trouble grasping it in physics for some reason. I also have to leave for a couple hours, so (if you...
  10. Z

    From Charge Density -> Electric Field(r) using Gauss

    Thank you! :D That's a much more understandable way to show it for me (math major). I was looking over what you just explained and looking back at what I did the post beforehand and I think that's actually what I attempted to do, but I'm not 100% sure I did it all right, and is it okay to...
  11. Z

    From Charge Density -> Electric Field(r) using Gauss

    I played around with it algebraically and brought in Coulomb's Law, E = 1/(4*[pi]*[epsilon]_0)*q/r^2, and [rho] = q/V, and got [rho] = (E*4*[pi]*[epsilon]_0*r^2)/V, and using volume of a circle = 4/3[pi]r^3, I was able to eliminate a lot, ending up with [rho] = (3*E*[epsilon]_0)/r. And bringing...
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    From Charge Density -> Electric Field(r) using Gauss

    Sorry about the delay, was having some connection issues. :X And that all does sound very familiar, not sure I completely grasped it all though, if someone doesn't mind going through it or doing a step or two in the right direction (I learn best through example) that might be a bigger help...
  13. Z

    From Charge Density -> Electric Field(r) using Gauss

    Homework Statement "Consider a charge density distribution in space given by [rho] = [rho]_0 * e^(-r/a), where [rho]_0 and a are constants. Using Gauss' Law, derive an expression for the electric field as a function of radial distance, r. Sketch the E vs. r graph. Was a question on a quiz...
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