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lesson28 - Lesson 28 RL and RC Circuits(Natural...

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v T (t) R T C + _ v C (t) i (t) v C (0)=V O i N (t) R T L i L (t) i L (0)=I O Lesson 28 – RL and RC Circuits (Natural Response) (Section 7-1) (CLO 7-1) The next three lessons on First-Order Circuits can be a bit challenging for the students because they involve calculus. The first looks at deriving the equations that describe first-order circuits and their natural response while the second looks at the circuits’ step responses. An excellent example of duality and be found by comparing the RC and RL differential equations and their solutions. The third looks at first-order response to other than a step. Suggest starting the lesson by analyzing a series RC circuit. It is important to remind students that any linear circuit can be replaced by its Thévenin equivalent. This is useful because it generalizes any first-order circuit to a voltage source, v T ( t ) in series with a resistor R T . Simply connect a capacitor across the Thévenin equivalent circuit and do a series analysis. Begin with writing a KVL equation: ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( t v dt
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