S-Domain mesh equations and equivalent circuit

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    Circuit Equivalent Mesh
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SUMMARY

The discussion focuses on solving a circuit problem involving s-domain mesh equations and equivalent circuits. The circuit in question is depicted in Fig 15.53, where participants are tasked with drawing the s-domain equivalent, writing three s-domain mesh equations, and determining the currents i1, i2, and i3. The mesh equations provided are: Mesh#1: -((2)/(S+1))+(2/S)i1+3(i1-i2)=0, Mesh#2: 3(i2-i1)+0.5S(i2-i3)+(4/S)=0, and Mesh#3: 0.5S(i3-i2)+i3=0. Feedback confirms that the equations appear to be correct.

PREREQUISITES
  • Understanding of Laplace Transform and its applications in circuit analysis
  • Familiarity with s-domain analysis techniques
  • Knowledge of mesh analysis in electrical circuits
  • Proficiency in using complex impedance, specifically Zc=1/SC and Zl=SL
NEXT STEPS
  • Study the application of Laplace Transform in circuit analysis
  • Learn about s-domain equivalent circuits and their significance
  • Explore mesh analysis techniques in greater detail
  • Investigate the use of complex impedance in AC circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and solving s-domain circuit problems.

DODGEVIPER13
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Homework Statement


For the circuit given in Fig 15.53, (a) draw the s-domain equivalent; (b) write the three s-domain mesh equations; (c) determine i1, i2, and i3.


Homework Equations


Laplace Transform table
Zc=1/SC
Zl=SL


The Attempt at a Solution


I have uploaded my work but what I am wondeering is do my equations look ok.
In case the equations can't be read here they are Mesh#1: -((2)/(S+1))+(2/S)i1+3(i1-i2)=0
Mesh#2: 3(i2-i1)+0.5S(i2-i3)+(4/S)=0 Mesh#3: 0.5S(i3-i2)+i3=0
 

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Your mesh equations look okay to me.
 

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