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Homework Help: Coulomb's Law magnitude problem

  1. Sep 28, 2010 #1
    1. The problem statement, all variables and given/known data

    Two point charges are fixed on the y axis: a negative point charge q1 = -24 µC at y1 = +0.20 m and a positive point charge q2 at y2 = +0.37 m. A third point charge q = +9.0 µC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 26 N and points in the +y direction. Determine the magnitude of q2.


    2. Relevant equations

    F = K(q1q2)/r^2

    3. The attempt at a solution

    First I found the magnitude of force between q and q1 and set up the equation for q1 and q2:

    [(8.99*10^9)(9.0*10^-6)(2.4*10-5)]/(0.20^2) = 48.546N
    [(8.99*10^9)(2.4*10^-5)(q2)]/(0.17^2) = F

    Then I did my equation to find the force for the 2nd equation (-48.546 since it's an attractive force):
    F - 48.546N = 26N
    F = 74.546

    Then solved for q2:

    q2 = [(74.546)(0.17^2)]/[(8.99*10^9)(2.4*10^-5)] = 9.985*10^-6

    WebAssign tells me I'm incorrect, and I can't tell where I've gone wrong...
     
  2. jcsd
  3. Sep 28, 2010 #2

    rl.bhat

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    Hi Bradman, welcome to PF.
    What is the distance between q2 and q?
     
  4. Sep 28, 2010 #3
    0.37m
     
  5. Sep 28, 2010 #4

    rl.bhat

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    q2 = [(74.546)(0.17^2)]/[(8.99*10^9)(2.4*10^-5)] = 9.985*10^-6


    Then check the force between q2 and q.
     
  6. Sep 28, 2010 #5
    Well, the sum of the forces on q is +26N, so since the Force of q1 on q is an attractive force of 46.546N in one direction, then the force of q2 on q should be a repulsive force 74.546N in the other direction. That makes the magnitude of the q2 charge:

    q2 = [(74.546)(0.37^2)]/[(8.99*10^9)(9.0*10^-6)] = 1.261*10^-4 C

    Which still tells me I'm wrong (it was my final submission).

    :cry:
     
  7. Sep 29, 2010 #6

    rl.bhat

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    Force between q and q1 is 48.546 N along +y direction.

    Net force is 26 N along the + y direction.

    Hence force F between q and q2 must be along the - y direction.

    So 26 N = 48.546 N - F.

    Now proceed.
     
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