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Ring of charge electric potential

  1. Feb 4, 2014 #1
    1. The problem statement, all variables and given/known data
    The ring is in the z,y plane.
    D = 2m
    R = 4m
    Q = 8 * 10^-6 C
    X = distance to the edge
    λ = dQ/dX
    dX = rdθ
    dQ = infinitely small charge
    dX = infinitely small arc of ring

    What is the potential difference at the point D perpendicular to the centre of the ring?

    2. Relevant equations
    [itex]\int \frac{kdQ}{X}[/itex]


    3. The attempt at a solution

    [itex]\int \frac{kλrdθ}{(D^2+R^2)^{1/2}}[/itex]
    After this how do I get it in terms of dθ?
     
    Last edited: Feb 4, 2014
  2. jcsd
  3. Feb 4, 2014 #2
    What is the question ? Are you required to find the potential of the ring at a point 2m away from the center ,and lying on the axis of the ring ?
     
  4. Feb 4, 2014 #3
    Yea I gave the question after all the variables were specified
     
  5. Feb 4, 2014 #4
    What is the problem ? Just integrate the expression with appropriate limits.The variable of integration is θ .
     
  6. Feb 4, 2014 #5
    Thats it?
     
  7. Feb 4, 2014 #6
    What does that mean ?
     
  8. Feb 4, 2014 #7
    So what are we integrating to 0 to 2pi?
     
  9. Feb 4, 2014 #8
    Yes... the range of θ is 0 to 2pi .
     
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