Quick general question about induction problem

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To find the maximum induced emf in a 40 turn coil surrounding a 200 turn solenoid, the change in magnetic flux with respect to time must be multiplied by the number of turns in the coil, which is 40. The area used in the flux change equation dflux/dt = dB/dt dot A should indeed be the cross-sectional area of the solenoid, not the coil. The relationship between the induced emf and the turn ratio is crucial, as expressed by the equation e = -N*d(BA)/dt. Understanding these concepts is essential for solving the problem accurately. The discussion emphasizes the importance of correctly applying the principles of electromagnetic induction.
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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
 
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