8.4 The Natural Response of a Series/Parallel RLC Circuit

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8.1 Linear Second Order Circuits• Circuits containing two energy storage elements.• Described by differential equations that containsecond order derivatives.• Need two initial conditions to get the uniquesolution.C.T. Pan 38.1 Linear Second Order Circuits• Examples(a) RLC parallel circuit(b) RLC series circuitis() t+vt ()−vs() tit ()C.T. Pan 4
8.1 Linear Second Order Circuits(c) 2L+R , RL circuitR1R2vs() tL L12(d) 2C+R , RC circuitRis() tC 1C 2C.T. Pan 58.2 Solution StepsStep1 : Choose nodal analysis or meshanalysis approachStep2 : Differentiate the equation as manytimes as required to get the standardform of a second order differentialequation .2d x dxa + b + x=yt ()2dt dtC.T. Pan 6
Page 5: 8.3 Finding Initial ValuesUnder tra
Page 8 and 9: 8.3 Finding Initial Values• Examp
Page 14 and 15: 8.4 The Natural Response of a Serie
Page 20 and 21: 8.5 The Step Response of a Series/P
Page 28 and 29: 8.6 State EquationStep1. Pick a tre
Page 30 and 31: 8.6 State EquationStep2 choose i an
Page 32 and 33: • Example 3 : Find v R48.6 State
Page 34 and 35: 8.6 State EquationR∴v = e - ( i +
Page 36: Summary• Objective 1 : Be able to

8.4 The Natural Response of a Series/Parallel RLC Circuit

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