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What is the integration of square wave ?

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I know that integration of Square wave will get triangular wave.

Can anyone explain me with an example with necessary derivations?

It will be very much helpful to me.

Thank you.
 

Integrating a constant gives you a linear relationship: ie integrating a constant k (dx) results in kx (+constant of integration). A square wave is just two constant levels (eg +1, -1). So, that results in the triangle wave.
 

integration is finding how the area under a curve varies with time. So with a square wave in the first little time interval (t), you have V X t Voltseconds which has some value. now at the end of the next time interval you have another V X t. So for every t, you clock up an extra (V X t) volt seconds, so you have a relationship where the voltage at time T, is V X (T/t) which is similar to Y = mX where m is the slope (T/t).
Frank
 
This is a simple answer. I hope this information can help you
square2triangular.JPG
 

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