Question

ONE-STAGE FILTER ? R2 M Cz C1 R1 Vin Vat Vout + Oscilloscope V-- 1. Derive the transfer function. R1=5k?, R2=150k?, C1=100µF, C2=100nF 2. What are the poles and zeros? Do they match up with the specifications? 3. Sketch the amplitude Bode plot. 4. Sketch the phase Bode plot. 5. For $V_{in}$=sin(2?3t), sketch $v_{in}$ and $v_{out}$ on the same axes. Explain how you obtained the phase and amplitude from the Bode plots above. Label all axes clearly. 6. If I daisy-chain 2 of these stages together, sketch just the amplitude Bode plots. Compare with the full Matlab output. Remember $|H(s)|_{dB} = 20 \times \log_{10} |H(s)|$ to verify your answers. You can cut/paste the Matlab plots next to your Bode plots sketched by hand.

          ONE-STAGE
FILTER
?
R2
M
Cz
C1
R1
Vin
Vat
Vout
+
Oscilloscope
V--
1. Derive the transfer function. R1=5k?, R2=150k?, C1=100µF, C2=100nF
2. What are the poles and zeros? Do they match up with the specifications?
3. Sketch the amplitude Bode plot.
4. Sketch the phase Bode plot.
5. For $V_{in}$=sin(2?3t), sketch $v_{in}$ and $v_{out}$ on the same axes. Explain how you obtained the phase and
amplitude from the Bode plots above. Label all axes clearly.
6. If I daisy-chain 2 of these stages together, sketch just the amplitude Bode plots.
Compare with the full Matlab output. Remember $|H(s)|_{dB} = 20 \times \log_{10} |H(s)|$ to verify your answers. You
can cut/paste the Matlab plots next to your Bode plots sketched by hand.

ONE-STAGE
FILTER
?
R2
M
Cz
C1
R1
Vin
Vat
Vout
+
Oscilloscope
V–
1. Derive the transfer function. R1=5k?, R2=150k?, C1=100µF, C2=100nF
2. What are the poles and zeros? Do they match up with the specifications?
3. Sketch the amplitude Bode plot.
4. Sketch the phase Bode plot.
5. For Vin=sin(2?3t), sketch vin and vout on the same axes. Explain how you obtained the phase and
amplitude from the Bode plots above. Label all axes clearly.
6. If I daisy-chain 2 of these stages together, sketch just the amplitude Bode plots.
Compare with the full Matlab output. Remember |H(s)|dB = 20 ×log10 |H(s)| to verify your answers. You
can cut/paste the Matlab plots next to your Bode plots sketched by hand.

Added by David M.

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