Quick general question about induction problem

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Homework Statement


I have a problem where a 40 turn coil surrounds a a 200 turn solenoid and I am asked to find the maximum induced emf.

Without going into exact details,

to get the EMF do I need to multiply my expression for the change in flux w/ respect to time by 40?

Also, The area in dflux/dt = dB/dt dot A is the cross sectional area of the solenoid, not the coil, correct?


Homework Equations





The Attempt at a Solution

 
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I believe you are forgetting the turn ratio
 
e = -N*d(BA)/dt