# Coulomb's law and dimension

1. Feb 26, 2016

### jk22

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. Feb 26, 2016

### Orodruin

Staff Emeritus
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.