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    Finding electric charge on each sphere: given total charge

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    Each of two small spheres is charged positively, the combined charge being 5 x 10^-5 C. If each sphere is repelled from the other by a force of one newton, when the spheres are two meters apart, how is the total charge distributed between the two spheres ?

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf
    https://brainmass.com/physics/electric/finding-electric-charge-sphere-given-total-charge-7410

    SOLUTION This solution is FREE courtesy of BrainMass!

    Let q1 and q2 be the charge on the two spheres.

    q1 + q2 = 5 x 10^-5 C .........(1)

    we have , F = K (q1 q2/R^2)

    where K = 9 x 10^9 and R = 2

    therefore,
    1 newton = K (q1 q2/R^2)

    = 9 x 10^9 (q1 q2/2^2)

    from this q1q2 = (4/9) x 10^-9

    We can write, (A-B)^2 = (A+B)^2 - 4 (A B)

    therefore, (q1-q2)^2 = (q1+q2)^2 - 4 q1 q2

    = 25 X 10^-10 - (16/9) X 10^-9

    = [25 - (160/9)] X 10^-10

    OR,
    q1 - q2 = 2.69 x 10^-5 Coulomb .........(2)

    from (1) & (2) we get,

    q1 = 3.85 x 10^-5 C and

    q2 = 1.15 x 10^-5 C

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:47 pm ad1c9bdddf>
    https://brainmass.com/physics/electric/finding-electric-charge-sphere-given-total-charge-7410

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