lecture 11

lecture 11 - 1 1 Class as usual(Monday and(Friday HW as...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 1 Class as usual, 9/20/10 (Monday) and 9/24/10 (Friday) HW as usual, HW #5 is due 9/24/10 (Friday) No class , 9/22/10, (Wednesday) Test #1 Sept. 21, 2010, Tuesday, 6:30 - 7:30 PM, PHYS 112 No calculator, no electronic device and no formula sheet Tables 12.1 and 12.2 will be handed out with the test. Material covered: Up to and include Lecture 11 (today’s lecture) Ch. 12, 13 and 14, HW # 1, 2, 3 and 4 (and 5?) A seating chart will be posted in 202 Help Room (MSEE 180) and on my office door (MSEE 262) by 9/21/2010 noon. You have to sit in the assigned seat only. Pictures will be taken during the test. Bring PU ID (Photo ID) 8 to 12 MC questions and 1 to 2 WO questions. Turn in the scantron sheet and the test packet. 2 Summary of Lecture #11 9/17/2010 • Switching RLC circuits • Initial- and final- value theorems • Examples • Impulse response and step response • Conservation of charge q 1 + q 2 + q 3 + … = constant • More examples • Op. amp. integrators 3 C v c (t) i c (t) +- v c (0- ) Cv c (0- ) I c (s) V c (s) +- I c (s) V c (s) +- +- Cs 1 v c (0- ) s i L (t) v L (t) +- L i L (0- ) I L (s) V L (s) +- Ls i L (0- ) s +- Ls I L (s) V L (s) +- Li L (0- ) Cs 1 Circuit elements having non-zero initial conditions in time and frequency domains Current source in parallel Voltage source in series 4 • Initial-value Theorem: If F(s) is a strictly proper rational function, then the initial value of f(t) is • Final-value Theorem: If F(s) has poles only in the open left half plane , with possible exception of a first- order pole at origin , (but nowhere else on the j ϖ axis) then the final value of f(t) is For proof, read pp. 726-729. s f (0 ) lim [ (s)] s F →∞ + = s t lim f (t) li s m[ F(s)] →∞ → = 5 Ex. 5. Given F(s), find f(0 + ) and f( ∞ ). ) 3 s )( 1 s ( s ) 1 s )( 2 s ( 3 ) s ( F + +- + = o o s = -3 s = -1 s = 0 Is F(s) a strictly proper rational function? Where are the poles? Open LHP? ( 29 ) t ( u e 2 e 3 2 ) t ( f t 3 t-- + +- = 2 )) s ( sF ( lim ) ( f 3 )) s ( sF ( lim ) ( f s s- = = ∞ = = → ∞ → + Check 3 s 2 1 s 3 s 2 ) s ( F + + + +- = 6 Ex. 6. Given F(s) = 4/(s 2 +9), find initial and final values of...
View Full Document

{[ snackBarMessage ]}

Page1 / 6

lecture 11 - 1 1 Class as usual(Monday and(Friday HW as...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online