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Problem on electrostatic force

  1. Jan 20, 2015 #1
    1. The problem statement, all variables and given/known data
    A metal sphere of radius R and total charge Q is cut into two equal halves. Find the force that is
    necessary to hold the two parts together.

    2. Relevant equations
    ##F = \frac{1}{4\pi \epsilon _0} \cdot \frac {q_1 q_2}{r^2}##
    ##\oint \vec E \cdot d \vec A = \frac{q}{\epsilon _0}##

    3. The attempt at a solution
    Is there any other way which is easy to calculate rather than columb's law (using calculus)?
     
  2. jcsd
  3. Jan 20, 2015 #2

    Orodruin

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    Have you tried computing the electromagnetic stress tensor from the field strength and integrating it over a "well chosen" surface?
     
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