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Problem on electrostatic force

  • Thread starter arpon
  • Start date
  • #1
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Homework Statement


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.

Homework 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}##

The Attempt at a Solution


Is there any other way which is easy to calculate rather than columb's law (using calculus)?
 

Answers and Replies

  • #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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