Derivation of telegrapher's equations

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SUMMARY

The discussion focuses on the derivation of telegrapher's equations using Kirchhoff's current and voltage laws, specifically addressing the configuration of shunt capacitance and shunt conductance. Participants clarify that shunt capacitance and conductance are not in parallel with each other but are instead associated with the voltages at their respective ends. The confusion arises from the interpretation of voltage 'u' in the context of losses through resistors and capacitors, with references to Pozar's derivations highlighting the need for clarity in parallel configurations in integrated circuits (ICs).

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  • Understanding of Kirchhoff's current and voltage laws
  • Familiarity with telegrapher's equations
  • Knowledge of shunt capacitance and conductance in electrical circuits
  • Basic concepts of integrated circuit (IC) design
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Electrical engineers, circuit designers, and students studying integrated circuits who seek to deepen their understanding of telegrapher's equations and their application in circuit analysis.

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When deriving telegrapher's equations using Kirchhoff current/voltage laws (this equivalent circuit), are the shunt capacitance and shunt conductance in parallel? I assume not, and if not, are they in parallel with the voltages at each corresponding end? I am confused by this; in Pozar's derivations, he assumes the latter when using Kirchhoff current law. I always have trouble determining what is parallel with what, especially in ICs. Can anyone elucidate this for me?
 
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Thanks for the derivation although I think my questions are still unanswered. When calculating the losses through the resistor and capacitor, he uses voltage 'u' for both. Is this u(x,t)? Both the capacitor and resistor are at this voltage, so in parallel? What about the voltage at u(x+dc,t)?
 
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