The Dc resonant transformer

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won't L2 try to maintain the magnet's magnetic field ? this is like putting an air core tranformer aligned to a homogeneous magnetic field.. is there something I'm missing?

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When?

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From my analysis the secondary aways mimic the primary magnetic field during pulse on except if the field cross the zero point.

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 the core field is decreasing so the secondary coil will create a field to keep the field from decreasing .... opposite to the primary coil's field.... I'm I wrong?

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during pulse on?

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yes ... during pulse on the field is decreasing isnt it?

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Yes the field is decreasing. But do you agree that if it were a normal transformer the field would be increasing because of the primary? So in the case of a transformer the positive into the dot  and positive out of the secondary  dot. 

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yes.. but put a coil inside a magnetic field and reduce the field strength , the coil will create a magnetic field to resist this change in field strength.. in the direction of the field..