Engineering Writing mesh equations for a RL circuit

AI Thread Summary
The discussion focuses on writing mesh equations for a RL circuit involving two mesh currents, i1 and i2. The user notes that their solution aligns with the answer key, except for a discrepancy regarding the -25di1/dt term, which they believe is counted twice. It is clarified that the mesh current i1 flows through both inductors, leading to the inclusion of two mutual inductance terms in the equation. The user seeks assistance to better understand this aspect of the problem. Understanding the contribution of mesh currents in RL circuits is crucial for accurate circuit analysis.
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Homework Statement


Write the equations for the two mesh current i1 and i2. The circuit and the answer to mesh 1 are showing below
Capture.PNG
Capture1.PNG


Homework Equations

The Attempt at a Solution


My answer came out to be the same as the answer key except for the -25di1/dt term. It seems that this term gets counted twice. Could someone please help me understand this problem? Thanks!
 
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The mesh current ##i_1## passes through both inductors so it contributes two mutual inductance terms to the loop.
 

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