Current in Induction: Calculating Mutual Induction

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Homework Statement



Lets say that I have two inductors whihc share the same iron core and I run a current through the first inductor. I know how voltage changes under mutual induction, but how can I figure out the current produced through mutual induction?
 
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How about conservation of energy, or power in = power out?
 
So the current in the second inductor is the same as the current in the first inductor? Is there a way I can derive this?
 
yeah so that gives me voltage. I just divided by resistance right?