When discussing an ideal transformer, Wikipedia says “varying flux at the secondary winding induces a varying electromotive force (EMF, voltage) in the secondary winding due to electromagnetic induction and the secondary current so produced creates a flux equal and opposite to that produced by the primary winding, in accordance with Lenz's law.” It is my understanding that a real transformer experiences core losses that mean the flux created by the secondary coil is not as great as that produced by the primary. I am wondering what would happen if the flux produced by the secondary coil was actually greater than the flux produced by the primary coil.
Suppose the secondary coil in a transformer was connected to an external power source. As the voltage is induced in the secondary coil, the external power source also supplies power to the secondary coil, flowing in the same direction as the induced current/voltage. Would the flux produced by the secondary coil be stronger than the one produced by the primary, and what would happen as a result?
I am not planning on actually doing this - I just want to know if it is possible, and what would happen.