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How to find output voltage?

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love_electronic

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Hi guys
I want to find the output voltage of integrator circuit as shown in the diagram below.
Input signal is 1KHz. R = 100k and C =1uF
How to find the output voltage? Actually i am stuck in integration portion.
IMG_20171023_143414.jpg

Thanks
 

Hi,

no need to perform the integration.

You know XC = 1 / 2 x Pi x f x C

Then calculate Z = 1/ ( 1/R + 1 / Xc)

Then the output voltage Vout = Vin x Xc / Z

(Assuming the input signal is a sine wave.)
Not that this is not a (perfect) "integrator" it is a "low pass filter"

Klaus
 

Hi Klaus thanks
But if i have square wave signal,then what will be the output? As an integrator gives triangle output.
 

Hi,

As said: This is no integrator.
An integrator output has undefined starting voltage and usually will end in saturating output.

A low pass filter (like in your picture) has:
* DC gain of 1 (therefore output usually doesn´t saturate)
* and a more or less distorted triangle waveform (never pure triangle) depending on input frequency and cutoff frequency ratio.

Define your square wave:
* HIGH voltage,
* LOW voltage,
* duty cycle.

Klaus
 

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