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Derive equations for Electric Field/Electric Potential

  1. Feb 20, 2013 #1
    1. The problem statement, all variables and given/known data


    (a)
    A ring with charge Q and radius R is in the yz-plane and centered on the origin. What is the electric potential a distance x above the center of the ring? (Use any variable or symbol stated above along with the following as necessary: k.)

    (b)
    Derive the electric field from this relationship. (Use any variable or symbol stated above along with the following as necessary: k.)


    2. Relevant equations

    V = U/q
    U = -qEr
    E = kQ/r2

    r = (x2+R2)0.5


    3. The attempt at a solution

    I got problem (a) correct. I combined the above equations which resulted in

    kQ/r

    kQ/(x2+R2)0.5

    For (b), it wants the answer in i + j + k.

    j and k are 0.

    V = qEr/q
    V = Er
    E = V/r

    E = kQ/r2

    E = kQ/(x2+R2)

    This is not the correct answer for i. The problem is due in 1 hour, 30 minutes.
     
  2. jcsd
  3. Feb 20, 2013 #2
    Well, it turns out that I was able to figure this one out just in time.
     
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