Writing mesh equations for a RL circuit

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SUMMARY

The forum discussion focuses on writing mesh equations for a RL circuit, specifically addressing the mesh currents i1 and i2. The user reports a discrepancy in their solution compared to the answer key, particularly regarding the term -25di1/dt, which they believe is counted twice. The discussion emphasizes the contribution of the mesh current i1 through both inductors, leading to the inclusion of two mutual inductance terms in the mesh equation.

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  • Understanding of mesh analysis in electrical circuits
  • Familiarity with RL circuit components, specifically inductors
  • Knowledge of mutual inductance and its effects on circuit equations
  • Proficiency in differential equations as applied to 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!
 
Physics news on Phys.org
The mesh current ##i_1## passes through both inductors so it contributes two mutual inductance terms to the loop.
 

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