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Homework Help: Finding potential difference between two points on a cone

  1. Dec 27, 2009 #1
    Hello

    I am solving some problems from "Intro to EM" by David Griffiths ( third edition)
    Problem 2.26 ( attached file 2.26.jpg) and I have also attached the solution from the solution
    manual (griffiths-2.26.jpg). For both part a and b I am getting different answer.

    I have chosen vertex as the origin and the axis of the cone as the positive z-axis.
    The bottom of the cone is toward positive z axis. Now any differential area element on the cone would be (using cylindrical coordinates) , x*d(phi)*dz , where x is the perpendicular
    distance of the area element from the z-axis. But for this geometry, x=z for any point on the
    cone , so dz = dx. The distance r of this area element from the origin(vertex) would be
    sqrt(2)*x. I am supposed to use the formula (formula.jpg).

    Why are my solutions not working ? Or is the instructor's solution manual incorrect ?

    Regards
    I Newton
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Dec 27, 2009 #2

    tiny-tim

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    Hello issacnewton! :smile:

    I can see the instructor's solution but not your solution. :confused:
     
  4. Dec 27, 2009 #3
    hello tiny-tim

    i will write my solution though i just explained what i did. i see people here write using LateX. how can i write like that ? is there any 'How to' tutorial for doing that ?

    Newton
     
  5. Dec 28, 2009 #4

    tiny-tim

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    Hello issacnewton! :smile:

    (just got up :zzz: …)

    LaTeX is very easy.

    The best way to see how to use it is click the "QUOTE" button on someone else's post and copy what they do. :wink:

    There's a list of symbols and a guide at http://www.physics.udel.edu/~dubois/lshort2e/node61.html#SECTION008100000000000000000" [Broken]

    and there's also a palette of symbols if you click the ∑ tag just above the Reply box (though I never use it).
     
    Last edited by a moderator: May 4, 2017
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