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Chapter 13: The Laplace Transform in Circuit Analysis

ECEN 2633 Page 1 of 12 Chapter 13: The Laplace Transform in Circuit Analysis Circuit Elements in the s-Domain Creating an s-domain equivalent Circuit requires developing the time domain Circuit and transforming it to the s-domain Resistors: Inductors: (initial current ) Configuration #2: an impedance sL in parallel with an independent current source I0/s If the initial current is zero the s-domain Circuit for both representations simplifies to just the impedance sL. Capacitors: Configuration #2: an admittance sC in series with an independent voltage source V0/s Time-domain s-domain Where 0 Time-domain: s-domain: Configuration #1: an impedance sL in series with an independent voltage source LI0 0 Time-domain s-domain Configuration #1: an admittance sC in parallel with an i

Since Laplace allows for algebraic manipulation we can solve a circuit like the one to the right. First find the s-domain equivalent circuit… then write the necessary mesh or node equations. ECEN 2633 Page 7 of 12 The voltage drop across the 42 resistor: − − −− The Use of ...

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