1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Charged cylinder (electric field, rotor, divergence)

  1. Oct 10, 2009 #1
    1. The problem statement, all variables and given/known data

    Charged Cylinder has lenght L and radius a. Charge density increases within the equation rho = rho0(r/a)3 where rho0 is constant and r is distance measured from cylinder´s axis. Outside of the cylinder charge density is zero.

    a, Calculate the electric field inside and outside of the cylinder as a function of measured distance from cylinder´s axis.
    b, Calculate the divergence of the electric field , and the rotor also.
    c, What is the total charge of the cylinder?

    2. Relevant equations

    rho = rho0(r/a)3

    3. The attempt at a solution

    I draw a picture that shows electric field of cylinder. Is the picture drawn right?
    cylinder electric field.jpg
    a, The total charge should be Q inside the surface area A right? So in distance R I use coulomb´s law and I got E = Q/(e0pi(2RL + 4(R-a)2 + 2a2) I divided cylinder in three parts (ball, top area of cylinder, and circular area of cylinder) is that right?

    When inside the cylinder: should I just take Vinside/Vtot * E * rho? Does it make sense?

    b, I don´t know what means to divergence and rotor. I konw the divergence means something like, how much flow is coming out or going in. And rotor means something differences between flows.

    Should the divergence be 0 because I don´t see how charged cylinder creates more Q or electricity??? What about the rotor?? How do I prove these?

    c, Total charge of cylinder is (Q/V)*V is that right? so it is V*rho and where r = a
     
    Last edited: Oct 10, 2009
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Charged cylinder (electric field, rotor, divergence)
Loading...