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3-Lesson_Notes_Lecture8_ee205

# 3-Lesson_Notes_Lecture8_ee205 - 1 Electric Circuits II THE...

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1 1 Electric Circuits II THE NATURAL AND STEP RESPONSE OF A SERIES RLC CIRCUITS Lecture #6

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2 2 The material to be covered in this lecture is as follows : o The Natural response of a series RLC circuit o The step response of a series RLC circuit o Analysis of Circuits With Two Integrating Amplifiers ¾ Two Integrating Amplifiers in cascade ¾ Two Integrating Amplifiers with feedback resistor After finishing this lecture you should be able to: o Understand The Natural response of a series RLC circuit o Understand The step response of a series RLC circuit o Analyze Circuits With Two Integrating Amplifiers ¾ Two Integrating Amplifiers in cascade ¾ Two Integrating Amplifiers with feedback resistor
3 3 THE NATURAL AND STEP RESPONSE OF A SERIES RLC CIRCUITS The procedures for finding the natural or step response of a series RLC circuit are the same as the one used to find the natural response or step response of a parallel RLC circuit. Both series and parallel circuits are described by second order differential equation. Series RLC Circuit () 22 8.4.3 2 0 dL Rd i i L LC dt dt ⎯⎯→ ++ =

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4 4 The characteristic equation () 2 8.4.4 0 Ri SS L LC ⎯⎯→ ++= The roots are 2 1,2 1 22 RR s L LL C ⎛⎞ ⎜⎟ ⎝⎠ 2 0 2 s W α Where ( ) 2 8.4.5 R rds L = and ( ) 0 1 / 8.4.6 rd s w LC =
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3-Lesson_Notes_Lecture8_ee205 - 1 Electric Circuits II THE...

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