I came across a line stating that a magnetic field exists in a region outside a circular plate capacitor that is being charged. I am not able to understand this as there is no change in electric flux and according to Maxwell's law of induction, magnetic field can't be induced without a change in electric flux. I've attached photos of the diagram and the statements (enclosed within brackets). Am I missing something here?
As the capacitor is being charged, the electric field between its plates is increasing with time. There is therefore a time varying electric flux aka a displacement current and, by Ampère's Law (which is, I believe, what you mean by "Maxwell's law of induction"), an MMF around the loop in your drawing.