1. The problem statement, all variables and given/known data Consider a solenoid with a time varying current and with a coil of wire placed around it. Suppose there is a soft iron rod inside the solenoid. My question is: What happens to the (induced) current in the coil of wire as a result? 2. Relevant equations Faraday, magnetic flux, 3. The attempt at a solution Since iron is ferromagnetic, (it has associated with it a permanent magnetic dipole moment), it gives out a net B field. So the B field inside the solenoid is increased. Since $$\phi_B = BA,$$ the magnetic flux then increases and hence the induced emf in the wire by Faraday. This causes the induced current to increase also. Is this okay? Many thanks.