In modern relativisitic formulations using tensors they are one equation also, derivable from the action of the electromagnetic field tensor. This formulation a

In modern relativisitic formulations using tensors they are one equation also, derivable from the action of the electromagnetic field tensor. This formulation also shows that electric and magnetic fields are the same, simply rotated under a relativisitic transform, which is the modern view. Start here for the ideas https://en.wikipedia.org/wiki/Electromagnetic_tensor https://en.wikipedia.org/wiki/Electromagnetic_tensor