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Coulomb's law and dimension

  1. Feb 26, 2016 #1
    The power law of Coulomb depends on the dimension treated . It is $$1/r^{n-1} $$ where n is the dimension.

    In n=3 we get the inverse square law.

    How does this go into considering now spacetime 3+1 dimensional ? Would it modify the law and how ?
  2. jcsd
  3. Feb 26, 2016 #2


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    The Coulomb law is only valid for a single static charge. The static solution is three-dimensional as it does not depend on time. To deal with time changing fields you need Maxwell's equations.
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