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Electrostatics || A cone charged unifomly, find intensity

  1. Dec 21, 2015 #1
    1. The problem statement, all variables and given/known data
    A cone of height H and base radius A is charged with charge Q uniformly distributed in all its volume. Find electrostatic field intensity at the top of the cone.

    DATA: H, A, Q
    2. Relevant equations
    E=ρ/(4πε0) ∫Ω dΩ/R2)

    and R is a vector (rr^+zz^) r^ and z^ are versors

    3. The attempt at a solution
    Don't have idea how to integrate this, hope anyone can help me.
     
  2. jcsd
  3. Dec 21, 2015 #2

    haruspex

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    Use cylindrical coordinates. This gives you a triple integral.
     
  4. Dec 21, 2015 #3
    How do I do this?
     
  5. Dec 21, 2015 #4

    haruspex

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    Are you familiar with cylindrical coordinates?
    Do you know how to write an integral over a volume using such?
    Both topics can be easily found on the net.
     
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