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class notes, M. Rodwell, copyrighted 2011
ECE 2C, notes set 9: Second-Order Circuits
Mark Rodwell
University of California, Santa Barbara
rodwell@ece.ucsb.edu 805-893-3244, 805-893-3262 fax
class notes, M. Rodwell, copyrighted 2011
Goals:
analysisTransient
analysis responseFrequency
domain.in function Transfer
Analysis
SystemsOrder -nd2
s
class notes, M. Rodwell, copyrighted 2011
Parallel RLC Resonance
class notes, M. Rodwell, copyrighted 2011
Parallel RLC Resonance: Analysis
class notes, M. Rodwell, copyrighted 2011
Parallel RLC Resonance: Frequency Reponse
class notes, M. Rodwell, copyrighted 2011
Bode Plot of Resonance
class notes, M. Rodwell, copyrighted 2011
Poles, Zeros
class notes, M. Rodwell, copyrighted 2011
Poles, Zeros
class notes, M. Rodwell, copyrighted 2011
Root Locus
class notes, M. Rodwell, copyrighted 2011
Root Locus: For Underdamped System
21 where nd
1dnp js 2,1
22 /)/2(1
)/2()(
nn
n
ss
ssH
class notes, M. Rodwell, copyrighted 2011
Root Locus: For Overdamped System
1
complex. is 1then
,1 ifbut
2
nd
dnp js 2,1
11
use then ,1 If
22
nnd jj
1
So
2
2,1
nn
dnp js
class notes, M. Rodwell, copyrighted 2011
Root Locus: For Overdamped System
1
1 2
2,1
nn
dnp js
22 /)/2(1
)/2()(
nn
n
ss
ssH
class notes, M. Rodwell, copyrighted 2011
Quality factor of an Energy Storage Element
class notes, M. Rodwell, copyrighted 2011
Quality factor of an Energy Storage Element
class notes, M. Rodwell, copyrighted 2011
-3 dB (Half-Power) Bandwidth
class notes, M. Rodwell, copyrighted 2011
Impulse Response
class notes, M. Rodwell, copyrighted 2011
Impulse Response
class notes, M. Rodwell, copyrighted 2011
Impulse Response
class notes, M. Rodwell, copyrighted 2011
Series RLC Circuit
class notes, M. Rodwell, copyrighted 2011
Another Resonant Circuit
class notes, M. Rodwell, copyrighted 2011
Another Resonant Circuit
class notes, M. Rodwell, copyrighted 2011
Impulse Response
class notes, M. Rodwell, copyrighted 2011
Impulse Response
class notes, M. Rodwell, copyrighted 2011
Recall Step Response: Not Derived Here Again
class notes, M. Rodwell, copyrighted 2011
Low-Pass, 2nd-Order Filters
class notes, M. Rodwell, copyrighted 2011
Band-Pass 2nd-Order Filters
class notes, M. Rodwell, copyrighted 2011
High-Pass 2nd-Order Filters
class notes, M. Rodwell, copyrighted 2011
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