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

Aristotle
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Homework Statement



px1.JPG

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
 
Last edited:

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