Problem 9. Consider the filter shown in the figure below. a) Derive an expression for the transfer function H(f) = Vout Vin b) Use MATLAB to obtain a Bode plot of the transfer-function magnitude for R₁ = 9 kQ, R₂=1 kQ and C = 0.01 μF. Allow the frequency to range from 10 Hz to 1 MHz. wwwwwwww c) At very low frequencies, the capacitance becomes an open circuit. In this case, determine an expression for the transfer function and evaluate for the circuit parameters of part (b). Does the result agree with the value plotted in part (b)? Vin + C HE ww R₁ R₂ Yout

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Problem 9. Consider the filter shown in the figure below.
a) Derive an expression for the transfer function H(f) = Vout
Vin
b) Use MATLAB to obtain a Bode plot of the transfer-function magnitude for R₁ = 9 kQ, R₂=1 kQ
and C = 0.01 μF. Allow the frequency to range from 10 Hz to 1 MHz.
wwwwwwww
c) At very low frequencies, the capacitance becomes an open circuit. In this case, determine
an expression for the transfer function and evaluate for the circuit parameters of part (b). Does
the result agree with the value plotted in part (b)?
Vin
+
C
HE
ww
R₁
R₂ Yout
Transcribed Image Text:Problem 9. Consider the filter shown in the figure below. a) Derive an expression for the transfer function H(f) = Vout Vin b) Use MATLAB to obtain a Bode plot of the transfer-function magnitude for R₁ = 9 kQ, R₂=1 kQ and C = 0.01 μF. Allow the frequency to range from 10 Hz to 1 MHz. wwwwwwww c) At very low frequencies, the capacitance becomes an open circuit. In this case, determine an expression for the transfer function and evaluate for the circuit parameters of part (b). Does the result agree with the value plotted in part (b)? Vin + C HE ww R₁ R₂ Yout
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