Suppose that isolated magnetic charges (magnetic monopoles) exist. Maxwell's equations (ONLY MODIFIED) including contributions from a magnetic charge density ρm and a magnetic current density jm is
(Assume that, except for the sources, the fields are in vacuum)
1
\( \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} +\mathbf{j}_m \) and \( \nabla \times \mathbf{B} = \mu_0 \mathbf{j}_e - \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} \)
2
\( \nabla \times \mathbf{E} = \frac{\partial \mathbf{B}}{\partial t} + \mathbf{j}_m \) and \( \nabla \times \mathbf{B} = \mu_0 \mathbf{j}_e + \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} \)
3
\( \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} - \mathbf{j}_m \) and \( \nabla \times \mathbf{B} = \mu_0 \mathbf{j}_e + \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} \)
4
\( \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} - \mathbf{j}_m \) and \( \nabla \times \mathbf{B} = \mu_0 \mathbf{j}_e - \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} \)