lesson31

lesson31 - Lesson 31 –– RLC Series and Parallel...

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Unformatted text preview: Lesson 31 –– RLC Series and Parallel Circuits – (Sections 7-5 and 7-6) (CLOs 7-3 and 7-4) 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 second-order linear differential or integro-differential 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 second-order 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 under-damped cases. Start with a Thévenin circuit and add an L and a C in series. Using KVL we’ll find a second-order integro- differential equation if we choose to find i L ( t ) as our variable or a second-order 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.

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lesson31 - Lesson 31 –– RLC Series and Parallel...

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