logistic_guy
Senior Member
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- Apr 17, 2024
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here is the question
Derive the transfer function for the operational amplifier (an ideal op amp) in the figure and show that it can be written in the form ViVo=[1+(ω1/jω)][1+(ω/ω2)]−R2/R1 where ω1=C1R11 and ω2=C2R21. Assuming that the circuit is designed such that ω2≫ω1, find approximate expressions for the transfer function in the following frequency regions:
(a) ω≪ω1
(b) ω1≪ω≪ω2
(c) ω≫ω2
Use these approximations to sketch a Bode plot for the magnitude response. Observe that the circuit performs as an amplifier whose gain rolls off at the low-frequency end in the manner of a high-pass STC network, and at the high-frequency end in the manner of a low-pass STC network. Design the circuit to provide a gain of 40 dB in the “middle-frequency range,” a low-frequency 3-dB point at 200 Hz, a high-frequency 3-dB point at 200 kHz, and an input resistance (at ω≫ω1) of 2 kΩ.

my attemb
according to this website
masteringelectronicsdesign.com
the transfer function for the inverting amplifier is Vo=−ViR1R2 which can be written as ViVo=−R1R2
but the circuit in the website don't have capacitors C1 and C2
what should i do in this case?
Derive the transfer function for the operational amplifier (an ideal op amp) in the figure and show that it can be written in the form ViVo=[1+(ω1/jω)][1+(ω/ω2)]−R2/R1 where ω1=C1R11 and ω2=C2R21. Assuming that the circuit is designed such that ω2≫ω1, find approximate expressions for the transfer function in the following frequency regions:
(a) ω≪ω1
(b) ω1≪ω≪ω2
(c) ω≫ω2
Use these approximations to sketch a Bode plot for the magnitude response. Observe that the circuit performs as an amplifier whose gain rolls off at the low-frequency end in the manner of a high-pass STC network, and at the high-frequency end in the manner of a low-pass STC network. Design the circuit to provide a gain of 40 dB in the “middle-frequency range,” a low-frequency 3-dB point at 200 Hz, a high-frequency 3-dB point at 200 kHz, and an input resistance (at ω≫ω1) of 2 kΩ.

my attemb
according to this website
How to Derive the Inverting Amplifier Transfer Function – Mastering Electronics Design
the transfer function for the inverting amplifier is Vo=−ViR1R2 which can be written as ViVo=−R1R2
but the circuit in the website don't have capacitors C1 and C2
what should i do in this case?
