LTspice - Draft1 File View Plot Settings Simulation Tools Window Help Draft1 Draft1 Draft1 25dB- 20dB- 15dB- 10dB- 5dB- 0dB- -5dB- -10dB- -15dB- -20dB- -25dB- 30dB- -35dB- 1KHz Draft1 Q R E K H 0::: I 20 X + V1 A252↓@ < ÷ } ¥DMm W R1 100 X V(n003) P 10KHz AC 10 .ac dec 100 1000 100000 L1 1e-2 ✔ C1 1e-8 mû ********** SET TOP Draft1 Cursor 1 Cursor 2 Freq: 15.910601KHz Freq: Freq: Aa .op -- N/A- V(n003) Mag: Phase: Group Delay: - N/A- Mag: Phase: Group Delay: Ratio (Cursor2 / Cursor 1) Mag: Phase: Group Delay: 19.880103dB -89.498245° 188.58731μs -- N/A-- -- N/A-- - N/A- - N/A- -- N/A- - N/A- x O | 0 0 x X 7:02:44 PM Thursday 11/2/2023 0° -20⁰ 40° -60° -80° --100⁰ --120° |--140° -160° --180° 100KHz X Vs R1 W L1 om 1E-2 C1 1E-8 For Vout(s) = Vc1(s) (capacitor voltage), R = 1002, determine the transfer function, the attenuation constant, the resonant frequency and the damping ratio. Sketch the Bode plot for the magnitude (no phase). For the magnitude plot, add corrections at the poles or resonant frequency, as appropriate.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.30P: Reconsider Problem 3.29. If Va,VbandVc are a negative-sequence set, how would the voltage and...
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This is a practice question from my Introduction to Circuits course.

I am having a hard time finding the poles for this. When I implement the circuit in LT Spice, I can see that the cutoff frequency is somewhere around 16kHz, but I can't figure out how to come up with that value mathematically. It is underdamped; so, will have imaginary components, but I'm lost as to how to find them or what to do with them or how to come up with the correct cutoff frequency to match LT Spice.

Thank you for your assistance.

LTspice - Draft1
File View Plot Settings Simulation Tools Window Help
Draft1 Draft1
Draft1
25dB-
20dB-
15dB-
10dB-
5dB-
0dB-
-5dB-
-10dB-
-15dB-
-20dB-
-25dB-
30dB-
-35dB-
1KHz
Draft1
Q R E K
H
0:::
I
20 X
+
V1
A252↓@ < ÷ } ¥DMm
W
R1
100
X
V(n003)
P
10KHz
AC 10
.ac dec 100 1000 100000
L1
1e-2
✔
C1
1e-8
mû
**********
SET TOP
Draft1
Cursor 1
Cursor 2
Freq: 15.910601KHz
Freq:
Freq:
Aa .op
-- N/A-
V(n003)
Mag:
Phase:
Group Delay:
- N/A-
Mag:
Phase:
Group Delay:
Ratio (Cursor2 / Cursor 1)
Mag:
Phase:
Group Delay:
19.880103dB
-89.498245°
188.58731μs
-- N/A--
-- N/A--
- N/A-
- N/A-
-- N/A-
- N/A-
x
O
|
0
0
x
X
7:02:44 PM
Thursday
11/2/2023
0°
-20⁰
40°
-60°
-80°
--100⁰
--120°
|--140°
-160°
--180°
100KHz
X
Transcribed Image Text:LTspice - Draft1 File View Plot Settings Simulation Tools Window Help Draft1 Draft1 Draft1 25dB- 20dB- 15dB- 10dB- 5dB- 0dB- -5dB- -10dB- -15dB- -20dB- -25dB- 30dB- -35dB- 1KHz Draft1 Q R E K H 0::: I 20 X + V1 A252↓@ < ÷ } ¥DMm W R1 100 X V(n003) P 10KHz AC 10 .ac dec 100 1000 100000 L1 1e-2 ✔ C1 1e-8 mû ********** SET TOP Draft1 Cursor 1 Cursor 2 Freq: 15.910601KHz Freq: Freq: Aa .op -- N/A- V(n003) Mag: Phase: Group Delay: - N/A- Mag: Phase: Group Delay: Ratio (Cursor2 / Cursor 1) Mag: Phase: Group Delay: 19.880103dB -89.498245° 188.58731μs -- N/A-- -- N/A-- - N/A- - N/A- -- N/A- - N/A- x O | 0 0 x X 7:02:44 PM Thursday 11/2/2023 0° -20⁰ 40° -60° -80° --100⁰ --120° |--140° -160° --180° 100KHz X
Vs
R1
W
L1
om
1E-2
C1
1E-8
For Vout(s) = Vc1(s) (capacitor voltage), R = 1002, determine the transfer function,
the attenuation constant, the resonant frequency and the damping ratio. Sketch the
Bode plot for the magnitude (no phase). For the magnitude plot, add corrections at
the poles or resonant frequency, as appropriate.
Transcribed Image Text:Vs R1 W L1 om 1E-2 C1 1E-8 For Vout(s) = Vc1(s) (capacitor voltage), R = 1002, determine the transfer function, the attenuation constant, the resonant frequency and the damping ratio. Sketch the Bode plot for the magnitude (no phase). For the magnitude plot, add corrections at the poles or resonant frequency, as appropriate.
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