Am I on the right track in solving this OpAmp problem?

AI Thread Summary
The discussion focuses on solving an OpAmp circuit problem involving a transfer function H(s) = Vo / Vi. The user simplifies the circuit by identifying a parallel resistor-capacitor combination and applies a voltage divider to find the output voltage Vo. They express uncertainty about relating the output to the input voltage Vin and seek clarification on their approach. Feedback suggests that while the derived transfer function is correct, it could be presented in a more standard form with better parentheses for clarity. The user acknowledges the need for standardization but seeks verification of their current solution.
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Homework Statement



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Homework Equations


H(s)= Vo / Vi
Ideal op amp:
V+ = V-
Vo = V-

The Attempt at a Solution


To simplify the circuit, I noticed that the 200 ohm resistor and 60 microFarad capacitor are in parallel so:
Zp = (R/sC) / [(1+sRC)/(sC)] = R / [(1+sRC)]

Seeing that the Zp is in series with the 5 ohm resistor, I went ahead and used the voltage divider in search of Vo / Vin for the transfer function:

V- = 5 / [ 5 + (200/1+s(200)(60^-6)) ] * Vo

This is the part where I stopped since I'm not quite certain on how I can relate this to Vin. Can somebody lead me to the right track?
Thank you!
 
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For an OP-AMP with very high gain (ideally infinite), it causes V+ = V-

For your configuration here, V+ = Vin
 
NascentOxygen said:
For an OP-AMP with very high gain (ideally infinite), it causes V+ = V-

For your configuration here, V+ = Vin

Okay cool, I get an answer of:

H(s) = 5 / [ 5 + (200/1+s(200)(60^-6)) ]

Does this look correct?
 
A little clumsy; it is usually written in a more standard form. I think you'd be needing more parentheses there, to make it universally correct.
 
NascentOxygen said:
A little clumsy; it is usually written in a more standard form. I think you'd be needing more parentheses there, to make it universally correct.
H(s) = 5 / [ 5 + 200 / (1+s(200)(60^-6)) ]

And yes I know I have to make it in standard form, but am just verifying
 
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