Mutual Inductance in a solenoid

AI Thread Summary
The discussion focuses on calculating the mutual inductance (M) between a long solenoid and a shorter surrounding coil. The user attempted to derive M using the formula M = P*n1*n2*A/L but received feedback indicating the solution was incorrect. The problem involves a time-varying current in the solenoid, and the user is uncertain about the application of the relevant equations. Clarification on the correct approach and potential errors in the calculation is sought. Accurate determination of mutual inductance is crucial for understanding the interaction between the coils.
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Homework Statement


A long solenoid (black coil) with cross-sectional area A cm^2 and length L is wound with n1 turns of wire. A time-varying current i1 flows through this wire. A shorter coil (blue coil) with n2 turns of wire surrounds it. Use (uo)(m*kg/s^2*A^2)
1) Find the value M of the mutual inductance.

Note: The current in coil 1 is constantly changing. However, when using the hints it may help you to consider the instant at which the current in coil 1 is A.

I don't exactly know how to post the image

Homework Equations



I used the above equation

The Attempt at a Solution


I got M = P*n1*n2*A/L but it was wrong. Not sure where I went wrong. Any help would be appreciated
 
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