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Unformatted text preview: L as short circuit; find I L (0 – ) and/or V C (0 – ) ii. At t =0 + , redraw circuit and replace C and/or L with appropriate source of value obtained in step #2, and find x (0)=K 1 +K 2 (+K 3 ) iii. At t = ∞ , repeat step #2 to find x ( ∞ )=K 1 ECE201 Lect22 6 StepbyStep Approach 5. Find time constant ( τ ), or characteristic roots ( s ) i. Looking across the terminals of the C or L element, form Thevenin equivalent circuit; τ =R Th C or τ =L/R Th ii. Write ODE at t >0; find s from characteristic equation 5. Finish up 1. Simply put the answer together. 2. Typically have to use d x ( t )/d t │ t =0 to generate another algebraic equation to solve for K 2 & K 3 (try repeating the circuit analysis of step #5 at t =0 + , which basically means using the values obtained in step #3) ECE201 Lect22 7 Class Examples • Learning Extension E7.10 • Learning Extension E7.11...
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This document was uploaded on 03/12/2012.
 Spring '09

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