lecture 11 - 1 1 Class as usual, 9/20/10 (Monday) and...

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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 (todays 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 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...
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lecture 11 - 1 1 Class as usual, 9/20/10 (Monday) and...

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