Gain question (Op-amp/capacitors)

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SUMMARY

The discussion focuses on solving a circuit analysis problem involving an operational amplifier (op-amp) and capacitors. The user employs phasor form and Kirchhoff's Voltage Law (KVL) to derive the relationship between output voltage (Vo) and input voltage (Vs). The final equation presented is Vs = i(Z1) + i(Z2 parallel Z3) + Vo, where Z1 and Z2 represent resistor impedances and Z3 represents capacitor impedance. The importance of using LaTeX for clarity in presenting equations is also emphasized.

PREREQUISITES
  • Understanding of phasor representation in AC circuit analysis
  • Familiarity with Kirchhoff's Voltage Law (KVL)
  • Knowledge of operational amplifier characteristics
  • Basic concepts of impedance for resistors and capacitors
NEXT STEPS
  • Study the application of Kirchhoff's Voltage Law in AC circuits
  • Learn how to derive equations for op-amp circuits
  • Explore the use of LaTeX for formatting mathematical equations
  • Investigate the concept of impedance in AC circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing op-amp circuits and AC circuit behavior.

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Homework Statement


3df2cc6f92.png


Homework Equations

The Attempt at a Solution


507c6fd57e.png

[/B]
My approach was to put them into phasor form and do a KVL loop. However I don't see how I'm going to get Vo/Vs in here?

Vs = i(Z1) + i(Z2 parallel Z3) + Vo
 
Last edited:
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CoolDude420 said:

Homework Statement


View attachment 211602

Homework Equations

The Attempt at a Solution


View attachment 211603
[/B]
My approach was to put them into phasor form and do a KVL loop. However I don't see how I'm going to get Vo/Vs in here?
Could you type your work into the forum window please? Your images are a bit too fuzzy for me to follow. Also, there is a LaTeX tutorial under INFO at the top of the page under Help/How-To.

It sounds like you are trying to user the correct approach, and I'll download your images to see if I can clean thenm up enought for me to be of some help on your questions...
 
berkeman said:
Could you type your work into the forum window please? Your images are a bit too fuzzy for me to follow. Also, there is a LaTeX tutorial under INFO at the top of the page under Help/How-To.

It sounds like you are trying to user the correct approach, and I'll download your images to see if I can clean thenm up enought for me to be of some help on your questions...

My apologies. The final equation I got was this. Where Z1 = resistor impedance, Z2 = other resistor, Z3 = capacitor impedance
Vs = i(Z1) + i(Z2 parallel Z3) + Vo
 
An additional equality for an ideal OP-AMP, differential input is zero, i.e., v+ = v–

Write a pair of equations having i on their left-hand side, then equate them so the i term disappears, leaving you with an equation relating output voltage to Vs.
 

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