what is the unit step response of a high pass RC filter ?(adsbygoogle = window.adsbygoogle || []).push({});

I want to calculate using transfer function approach.

My solution :

Y(s)/X(s) = RCs/(1+sRC)

X(s)=1/s

Y(s)=RC/(1+sRC)

taking inverse laplace transform we should get

y(t)=exp(-t/RC)

But if we consider Y(s)=RC/(1+sRC)

RCsY(s) + Y(s) = RC

then this is a non homogeneous equation

so the solution should contain a dc term also which is a complementary function.

but the previous solution i have written above does not contain the dc term.

Please clarify this........

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# Unit step response of RC high pass filter

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