In lecture, we noted that there are two main ways to get a non$-$zero time derivative of the magnetic flux through a loop: $1.$ the magnetic field can change with time, or $2.$ the loop geometry can change. Now let$$s consider a third way to get a changing flux...

Let$$s say that the magnetic permeability of a material within a loop of wire changed. Would this result in a change in the magnetic flux through the loop?