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Unformatted text preview: 1 1 Test #2 Oct. 22, 2009, Thursday, 6:30 - 7:30 PM, FRNY G140 No calculator, no formula sheet, no cell phone. Tables 13.1 and 13.2 will be handed out with the test. Material covered: Chap. 14, 15, 16 and 17, and notes HW#4, #5, #6 and #7 A seating chart will be posted in 202 Help Room and on my office door (MSEE 262) by 10/22/09 noon. You have to sit in the assigned seat only. MC and WO questions. Turn in the scantron sheet and the test packet. Bring PU ID Class as usual, 10/19/09 (Mon.) and 10/21/09 (Wed.) HW #7 is due on 10/19/09, today No class, 10/23/09, Friday 2 Summary of Lecture #23 10/19/09 • ϖ o , ϖ r , ϖ m , ϖ p , ϖ d , B ϖ , Q etc. • Bandpass characteristic of series and parallel RLC circuits • Pole-zero plots of circuits with an ideal capacitor and an ideal inductor each • No finite zero and two complex poles • Single zero at the origin and two complex poles • Single zero off the origin and two complex poles • Two finite zeros and two complex poles • Circuits with real or practical inductors and capacitors 3 Undamped natural freq., tank freq., LC freq. : ϖ o Reactance (or susceptance) of L = reactance (or susceptance) of C Resonant frequency: ϖ r i in (t) and v in (t) are in time phase. ϖ r , if exists, is proportional to ϖ o . Im [Z in (j ϖ )] = 0 or Im[Y in (j ϖ )] = 0 at ϖ r Peak freq uency , ϖ m , (Fig. 16.1 of handout) Pole frequency . ϖ p , (Fig. 16.2 of handout) Damped oscillation freq . ϖ d , (Fig. 16.2 of handout) (Fig. 17.7 and Fig. 17.11 of textbook) L C L C iin(t) vin(t) +- LC 1 o = ϖ 4 Peak frequency : ϖ m Half power frequency: ϖ 1 and ϖ 2 Half power bandwidth : B ϖ = ϖ 2- ϖ 1 Pass band: [ ϖ 1 , ϖ 2 ] Quality factor Q: High Q: Q > 10 Low Q: Q < 1 For high Q circuits, 2 B ~ 1 2 ϖ ± ϖ ϖ ϖ ϖ ϖ ϖ ϖ = B / ~ B / Q m 2 1 ϖ m ϖ 2 ϖ 1 5 Bandpass characteristic of parallel RLC circuits x x o 2 o r 1/ 2 2 2 1 1 Y(s) Cs R...
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- Fall '06
- RLC, Inductor, complex poles, Series RLC, parallel RLC circuits