- Joined Sep 14, 2016
Q. The circuit is driven by Vi=VpCos(t/RC).The steady state output Vo will be :
I can do this by normal method of taking omega as 1/RC, hence Xc = -jR ....
But I thought of transforming the problem to s-domain and then using the final value theorem to find out the steady state solution.
Let's say impedence of parallel RC is Zp and series is Zc.
So output would be Vi(s)*Zp/(Zc+Zp)
Vi = Vp*s/(s^2+(1/RC)^2)
Zc is R + 1/sC
Zp = R/(1+sCR)
But the overall polynomial (after multiplying with s, as FVT demands) has the degree of denominator greater than numerator. Which would mean infinite value at s->0 implying same at t ->infinite which we can see is wrong.