Super-node question, one equation or two?

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SUMMARY

The discussion focuses on solving a circuit problem using the mesh current method, specifically addressing the use of supernodes and supermeshes. The user initially attempted to formulate two equations but realized that both lacked unknowns, indicating a misunderstanding of the method. The correct approach involves writing one equation for the supermesh and a constraint equation that relates the two mesh currents to the 6 A current source. This clarification emphasizes the importance of correctly identifying when to apply supermesh analysis in circuit problems.

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  • Understanding of mesh current analysis in electrical circuits
  • Familiarity with supernodes and supermeshes in circuit theory
  • Knowledge of Ohm's Law (V = IR)
  • Ability to formulate and solve linear equations
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  • Learn how to apply constraint equations in circuit analysis
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Electrical engineering students, circuit design professionals, and anyone looking to enhance their skills in circuit analysis and mesh current methods.

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Homework Statement


Use the mesh current method to solve for the power dissipated

Homework Equations


v1+v2+..vn=0
i=v/R
p=i*v

The Attempt at a Solution


I was trying to solve the question using two equations,
eq1) 20=4*i1+i1
eq2) -90=9*i2+6*i2
eq3)i2-i1=6A...

So I obviously made a mistake since the 6A is doing nothing in my equations, and both equations 1 and 2 have no unknowns. Am I suppose to just use one equation, and use the super node as my second? How can I tell when I need to use only one equation?
 

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In both eq1 and eq2 you are missing the voltage drop Vo
 
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You are asked to use mesh equations, so rather than a supernode, you want a supermesh. You should write one equation for the supermesh and one constraint equation tying the two "normal" mesh currents to the 6 A source.
 
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