Problem 2. The charge density $\rho(\mathbf{r}, t) = \rho(\mathbf{r}, 0) + \dot{\rho}(\mathbf{r}, 0)t$, so that $\mathbf{J}$ remains a constant in time. Show that the electric field $\mathbf{E}$ can be calculated using Coulombs law, using the charge density $\rho$ without retarded time.
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Coulomb's law states that the electric field E created by a point charge q at a distance r from the charge is given by: E = k * q / r^2 where k is the Coulomb's constant. Show moreβ¦
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