# How can a magnetic field exist outside a capacitor where the electric flux is not changing?

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?

• "A magnetic field cannot be induced without a change in electric flux". Then how come a wire with steady current generates a magnetic field? Remember the displacement current term: $\nabla \times \mathbf{B} = \mu_0\left(\mathbf{J} + \epsilon_0\frac{\partial \mathbf{E}}{\partial t}\right)$ – Floris Aug 10 '17 at 14:39