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Unformatted text preview: Lesson 31 –– RLC Series and Parallel Circuits – (Sections 75 and 76) (CLOs 73 and 74) This is the first lesson on the behavior of RLC circuit. There are several key points that we want the cadets to learn in this and the next lesson (step response of RLC circuits). RLC circuits have two independent energy storage devices (C and L). RLC circuits are described by a secondorder linear differential or integrodifferential equation the solutions of which require application of two initial conditions (v C (0) and its derivative dv C (0)/ dt or i L (0) and di L (0) /dt ). RLC circuits result in a secondorder characteristic equation. Natural responses to RLC circuits yield one of three different forms that depend on the parameters R, L and C. These are referred to as the overdamped, critically damped and underdamped cases. Start with a Thévenin circuit and add an L and a C in series. Using KVL we’ll find a secondorder integro differential equation if we choose to find i L ( t ) as our variable or a secondorder differential equation if we choose to solve for v C ( t )....
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This note was uploaded on 10/12/2010 for the course MAE 140 taught by Professor Mauriciodeoliveria during the Spring '08 term at UCSD.
 Spring '08
 MAURICIODEOLIVERIA

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