Mesh Analysis: Solving for Middle Loop Currents

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SUMMARY

In mesh analysis, when determining the current in a shared component between two loops, the correct approach is to consistently label the current and apply Kirchhoff's Voltage Law (KVL). The current should be labeled once and used throughout the equations. The subtraction of currents, whether i1 - i2 or i2 - i1, depends on the initial assumption about which current is larger; a negative result indicates that the assumption was incorrect.

PREREQUISITES
  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with mesh analysis techniques
  • Basic knowledge of electrical circuit components
  • Ability to solve linear equations
NEXT STEPS
  • Study advanced mesh analysis techniques for complex circuits
  • Learn about Kirchhoff's Current Law (KCL) for circuit analysis
  • Explore simulation tools like LTspice for circuit verification
  • Review examples of mesh analysis in multi-loop circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing electrical circuits using mesh analysis techniques.

madchiller
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hello, while doing the mesh analysis what do you substract to what to get the current that is in the middle of two loops what is the rule to get i1 - i2 or i2 - i1 it depends on what ? thanks in advance for the help :smile:
 
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madchiller said:
hello, while doing the mesh analysis what do you substract to what to get the current that is in the middle of two loops what is the rule to get i1 - i2 or i2 - i1 it depends on what ? thanks in advance for the help :smile:

You call it the same current. Only label the current in each leg once, and keep using that label for each equation that involves that element. Does that make sense?
 
Either way you do it, you make an assumption to which current is larger. If your answer is negative, your assumption was backwards.
 

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