Transcription of Second-Order Circuits [相容模式]
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2012/10/241 Second-Order Circuits Introduction Finding Initial and Final Values The Source-Free SeriesRLCC ircuit The Source-Free ParallelRLCC ircuit Step Response of a SeriesRLCC ircuit Step Response of a ParallelRLCC ircuit General Second-Order Circuits Duality ApplicationsIntroduction A Second-Order circuit is characterized by asecond- order differential equation. It consists of resistors and the equivalent oftwo energy storage Initial and Final Values v(0),i(0),dv(0)/dt,di(0)/dt,v( ), andi( ) Two key points: vandiare defined according to thepassive signconvention. Continuity properties: Capacitor voltage:(VS-like) Inductor current:(IS-like))0()0()0()0( LLCC iivvvi+_Example).
•General Second-Order Circuits •Duality •Applications Introduction •A second-order circuit is characterized by a second-order differential equation. •It consists of resistors and the equivalent of two energy storage elements. 2012/10/24 2 Finding Initial and Final Values
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Second Order Differential Equations, Chapter 2 Second Order Differential Equations, Order Linear Ordinary Differential Equations, Equations, Order, Second, Order differential, NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL, NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL EQUATIONS, Order differential equations, DIFFERENTIAL EQUATIONS, Reduction of Order, Order Equations, Differential, Special Second Order Equations Sect, Special Second order, Second order, Second order differential, For Linear Systems of Differential Equations, Second order equations{Undetermined, Applications of Di erential Equations