Circuit Analysis: Deriving Transient Expressions

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SUMMARY

The discussion focuses on deriving transient expressions for output voltage and power absorbed by resistors and capacitors in circuit analysis. Participants emphasize the necessity of knowing the input voltage function, vi(t), to proceed with the analysis. The recommended approach includes applying Kirchhoff's Current Law (KCL) to formulate a differential equation, which is essential for solving the circuit's transient response. The conversation highlights the importance of foundational concepts in circuit analysis for accurate derivation.

PREREQUISITES
  • Understanding of Kirchhoff's Current Law (KCL)
  • Familiarity with differential equations in circuit analysis
  • Knowledge of transient response in electrical circuits
  • Basic concepts of voltage, current, and resistance (Ohm's Law)
NEXT STEPS
  • Study the derivation of transient responses in RLC circuits
  • Learn how to formulate and solve differential equations in circuit analysis
  • Explore the application of Laplace transforms in circuit analysis
  • Investigate the impact of initial conditions on transient behavior
USEFUL FOR

Electrical engineering students, circuit analysts, and anyone involved in the study of transient responses in electrical circuits will benefit from this discussion.

amiv4
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Homework Statement



2010119219546339953219445925621295.jpg


analytically derive the transient expressions for the following
1. the output voltage volt for t > 0
2. the power absorbed by each resistor and capacitor


Homework Equations





The Attempt at a Solution


I'm not sure where to start. Don't i need to know what vi(t) is?
 
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I am new to circuit anaylsis too, but I am pretty sure you do, perhaps someone with more experience might advised other way.
Was no equation given being that both voltages are functions of time, t?
The only thing I can think of is that voltage can also be found by

V = IR
V(Voltage) = I(Current) x R(Resistance)
 
amiv4 said:

Homework Statement



2010119219546339953219445925621295.jpg


analytically derive the transient expressions for the following
1. the output voltage volt for t > 0
2. the power absorbed by each resistor and capacitor


Homework Equations





The Attempt at a Solution


I'm not sure where to start. Don't i need to know what vi(t) is?

Write the KCL equation for that upper right node -- it will give you a differential equation to solve.
 

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