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We have an AC voltage source connected to an ideal inductor that has no resistance.The inductor is wound around a ferromagnetic material.The maximum value of the driving voltage source is big enough that it will drive the core into saturation during the first positive half cycle.

Will the induced emf be zero over the interval of saturation? and what will be the value of current over such an interval ?

I think that the induced emf should be zero over the interval of saturation because the change in the B-field will be zero and consequently the time derivative of magnetic flux is zero.But that leads me to contradiction because the driving voltage is not zero during saturation then , how voltage across the inductor will be zero ?

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