Magnetic field induced by a charging infinite plane

1. Aug 5, 2012

ItachiUchiha

It's a routine to calculate the magnetic field between circular capacitor plates by the Ampere-Maxwell law, and it can be shown that the magnetic field increases linearly with the distance from the center of the capacitor plates, with direction parallel to the plates.

But what if the radius of the capacitor plates tends to infinite? Or, put it the other way, what is the magnetic field between two opposite charged infinite planes, assuming the surface charge density increases at a constant rate σ per second?

Or even simpler, as the title asks, what is the magnetic field induced by a charging infinite plane?

2. Aug 5, 2012