physics

Two identical small spherical conductors (point charges), separated by 0.6 m, carry a total charge of 200 mu or micro CC. They repel one another with a force of 120 N. (For the universal constant k use the value 8.99 times 109 N m2/C2.)

I think i am suppose to use E=kQ/r^2 . do I use this for both spheres then add them to equal 200? where does the force come in?

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  1. (a) Find the charge on each sphere.

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  2. E is the electric field, the force on a point charge of ONE coulomb.
    You can do it with E for either charge, ten multiply by the charge on the other (the target) sphere.
    Normally though you would just use the Coulomb law form
    F = k Q12Q2/r^2
    see:
    http://teacher.nsrl.rochester.edu/phy122/Lecture_Notes/Chapter22/Chapter22.html

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  3. call one charge Q1 and call Q2 = (200*10^-6 - Q1)

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  4. Use the formula F=kQ1Q2/r^2.
    Q1+Q2=200*10^-6 C
    200*10^-6 C - Q1=Q2
    substitute Q2 into the top formula and solve the equation.

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