Gain question (Op-amp/capacitors)

[CoolDude420]

Homework Statement

Homework Equations

The Attempt at a Solution

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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?

V_s = i(Z₁) + i(Z₂ parallel Z₃) + V_o

 

[berkeman]

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...

 

[CoolDude420]

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
V_s = i(Z₁) + i(Z₂ parallel Z₃) + V_o

 

[NascentOxygen]

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 V_s.