Transcription of CHAPTER 7: SECOND-ORDER CIRCUITS 7.1 Introduction
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CHAPTER 7: SECOND-ORDER CIRCUITS 7.1 Introduction
NAMI @PPKEE, USM EEE105: CI RCUI T THEORY 171 CHAPTER 7: SECOND-ORDER CIRCUITS Introduction This CHAPTER considers CIRCUITS with two storage elements. Known as SECOND-ORDER CIRCUITS because their responses are described by differential equations that contain second derivatives. Example of SECOND-ORDER CIRCUITS are shown in figure to Figure Figure NAMI @PPKEE, USM EEE105: CI RCUI T THEORY 172 Figure Figure NAMI @PPKEE, USM EEE105: CI RCUI T THEORY Finding Initial and Final Values Objective: Find )(),(,)0(,)0(),0(),0( vidtdidtdviv Two key points: (a) The direction of the current i(t) and the polarity of voltage v(t). Figure Figure (b) The capacitor voltage is always continuous: )0()0(-+=vv and the inductor current is always continuous: )0()0(-+=ii NAMI @PPKEE, USM EEE105: CI RCUI T THEORY 174 Example: The switch in Figure has been closed for a long time.
CHAPTER 7: SECOND-ORDER CIRCUITS 7.1 Introduction • This chapter considers circuits with two storage elements. • Known as second-order circuits because their responses are described by differential equations that contain second derivatives. • Example of second-order circuits are shown in figure 7.1 to 7.4. Figure 7.1 Figure 7.2
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