ece137a, notes set 16: second-order circuits
TRANSCRIPT
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
ECE137A, Notes Set 16:
Second-Order Circuits
Mark Rodwell, Doluca Family Chair, ECE DepartmentUniversity of California, Santa [email protected]
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Parallel RLC Resonance
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Parallel RLC Resonance: Analysis
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Parallel RLC Resonance: Frequency Reponse
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Bode Plot of Resonance
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Poles, Zeros
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Poles, Zeros
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation: For Underdamped System
21 where nd
1dnp js 2,1
22 /)/2(1
)/2()(
nn
n
ss
ssH
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation: 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
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation: For Overdamped System
1
1 2
2,1
nn
dnp js
22 /)/2(1
)/2()(
nn
n
ss
ssH
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation and Frequency Response: Complex Poles
? peaks thehavefunction transfer thedoesWhy
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Root Constellation and Frequency Response: Complex Poles
frequency. indicated at the small gets
distance thisbecause peaksfunction transfer The
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Quality factor of an Energy Storage Element
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Quality factor of an Energy Storage Element
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
-3 dB (Half-Power) Bandwidth
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Series RLC Circuit
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Another Resonant Circuit
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Another Resonant Circuit
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Low-Pass, 2nd-Order Filters
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Band-Pass 2nd-Order Filters
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
High-Pass 2nd-Order Filters
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Impulse Response
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Impulse Response
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Impulse Response
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Step Response of 2nd Order Systems
? response step thebe What would
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Step Response of 2nd Order Systems
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Step Response of 2nd Order Systems
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Low-Pass, 2nd-Order Filters: Its step response:
So:
ECE137A class notes, UCSB, Mark Rodwell, copyright 2019
Low-Pass, 2nd-Order Filters: Its step response:
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