capacitance and resistance

[Professor Wesley]

derive the expression for the output eo given the input ei, resistor Ri and capacitor C
I have attached an image for the figures.
Kindly help me with calculations.

 

[IRstuff]

The equation is of the same form as it is with pure resistances in either position. You simply substitute the impedance representation of the capacitor for the affected resistance and simplify

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[waross]

Until you introduce at least some change in potential across the capacitor and only during the time of the changing potential, the impedance of a perfect capacitor is infinite.
Formula for static conditions may not be valid for dynamic conditions.


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Ohm's law
Not just a good idea;
It's the LAW!

 

[IRstuff]

OP's drawing is a feedback op amp, so the instructor's expectation should be pretty clear; they're looking for an active filter equation. Additionally, the lower case notation of input and output would likewise imply a small-signal representation.

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[electricpete]

for op - assuming an ideal op amp, what do you think would be the voltage at the negative input terminal for the op-amp? How about the current into that terminal?

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(2B)+(2B)' ?