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Will Gauss's Law hold if the electrostatic force is inversely proportional to the 3rd power of the distance???
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Anyone???
The Gauss Law relates the flux, and the enclosed charge, and has nothing to do with electrostatic force.
No. We can start with the inverse \(square\) proportionality law known as Newton's Law and derive Gauss's Law. http://en.wikipedia.org/wiki/Gauss%27s_law_for_gravity#Relation_to_Newton.27s_law Thus if the inverse law holds so does Gausss' Law. Conversely, if Gauss's Law does not hold, then neither does the inverse square law.
It won't.
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