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How Far from Origin to Position Third Charge?

  1. Feb 3, 2010 #1
    1. The problem statement, all variables and given/known data

    A charge of 4.0 microcoulombs is positioned at the origin, and a charge of -5.6 microcoulombs is positioned 32.7 centimeters to its right. The charges are not free to move; they are fixed in place. Where on the x-axis must a third charge of arbitrary sign be placed in order to be in electrostatic equilibrium?

    2. Relevant equations

    Fc = K(Q1)(Q2)/d^2

    3. The attempt at a solution

    I tried graphing it and finding the intersection of

    4.0/x^2 and -5.6/x^2 + 32.7 but no dice
  2. jcsd
  3. Feb 3, 2010 #2
    any tips or anything? this is stumping me...
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