So, this question ask us to develop a circuit given the following:
H(s) = \(\frac{V_{out}(s)}{V_{in}(s)}\) = \(\frac{1}{as^{2}+1}\) (a>0)
part (a) asks if it's possible to realize H(s) using an op-amp and passive R, L, and C elements.
I attached my attempt to work it out(assumed R&L=1), but I've never seen an op-amp without resistors and can't seem to realize the function if they are included. Surely I am missing something important here or making a mistake?
What would happen exactly in this situation without the resistors? How can I design a circuit given H(s) when it does not have the standard s^2+s+1 form? I can't find much guidance nor does my book provide a clear picture.
part (b) then says if a=1, find the steady state response of the circuit if Vin(t) = 0.5cos(t)
I haven't started much on this one since I wasn't sure if my approach was correct for (a). Though I would like to know how to handle an input without an initial phase
Thanks for any help! I'm sure I'll stick around the website for a while, very helpful
H(s) = \(\frac{V_{out}(s)}{V_{in}(s)}\) = \(\frac{1}{as^{2}+1}\) (a>0)
part (a) asks if it's possible to realize H(s) using an op-amp and passive R, L, and C elements.
I attached my attempt to work it out(assumed R&L=1), but I've never seen an op-amp without resistors and can't seem to realize the function if they are included. Surely I am missing something important here or making a mistake?
What would happen exactly in this situation without the resistors? How can I design a circuit given H(s) when it does not have the standard s^2+s+1 form? I can't find much guidance nor does my book provide a clear picture.
part (b) then says if a=1, find the steady state response of the circuit if Vin(t) = 0.5cos(t)
I haven't started much on this one since I wasn't sure if my approach was correct for (a). Though I would like to know how to handle an input without an initial phase
Thanks for any help! I'm sure I'll stick around the website for a while, very helpful
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