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Divergence theorem

  1. Aug 1, 2008 #1
    1. The problem statement, all variables and given/known data
    Here is a link to the problem:
    http://www.brainmass.com/homework-help/physics/electromagnetic-theory/68800


    3. The attempt at a solution
    To find the divergence

    1/r^2*d(r)*(r^2*r^2*cos(theta))
    +[1/r*sin(theta)]*d(theta)*(sin(theta)*r^2*cos(phi))
    -[1/r*sin(theta)]*d(phi)*(r^2*cos(theta)*sin(phi))

    Which gives

    1/r^2*4*r^3*cos(theta)
    +[1/r*sin(theta)]*(cos(theta)*r^2*cos(phi))
    -[1/r*sin(theta)]*(r^2*cos(theta)*cos(phi))

    Is this correct?
     
    Last edited by a moderator: Aug 1, 2008
  2. jcsd
  3. Aug 1, 2008 #2

    Defennder

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    Homework Helper

    I'm a little confused as to the notational convention for [tex]\phi \ \mbox{and} \ \theta[/tex]. Which one in this question is the azimuthal angle to the xy plane?
     
  4. Aug 1, 2008 #3
    Phi is the azimuthal angle
     
  5. Aug 1, 2008 #4
    4rcos(theta) came from simplifying the expressions above it, it is the divergence.

    And thank you - you answered my question!
     
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