PPT On Laplace Circuit Analysis

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 Laplace Circuit Analysis Presentation Transcript:
 1. In this course we have modeled circuit elements (resistors, inductors, and capacitors) as linear and time invariant.   We have used linear differential equations to determine the transients.  We have modified this analysis for AC steady state by using jw with inductors and capacitors to form impedance.  We coupled this with phasors to solve AC steady state circuits. 
    
In the case of Laplace transforms we take the Laplace transform of the voltages and currents that describe the circuit elements (resistors, capacitors, inductors).  This converts the circuit models to functions of s as illustrated here.  We then use all the methods of analysis that we learned for DC circuits such as nodal, mesh, Thevenin, Norton, to solve the Laplace circuits which we say are in the complex frequency domain.  Everything is algebraic and it makes the problem(s) easier to handle than if we carried out everything in the time domain with integral, differential equations.  Once we have found the particular variable we seek, such a voltage or current, we then take the inverse Laplace to go to the time domain.