The three-terminal circuit in Figure P14=54. (a) has a bandpass transfer function of the form

Show that the circuit in Figure P14=54 (b) has a bandstop transfer function of the form
\[
T(s)=\frac{V_{\mathrm{O}}(s)}{V_{\mathrm{S}}(s)}=\frac{\left(s / \omega_{0}ight)^{2}+1}{\left(s / \omega_{0}ight)^{2}+2 \zeta\left(s / \omega_{0}ight)+1}
\]
That is, show that interchanging the input and ground terminals changes a unity-gain bandpass circuit into a unity-gain bandstop circuit.

Transcribed Image Text:

Vs(s) (a) T(s) (b) = GND Vo(s) Vs(s) IN + V(s) IN + V(s) 25(S/000) (s/w0) +25(S/00)+1 Vs(s) Ty(s) GND Tv(s) OUT o -O + + V(s) Vo(s) OUT -O + + V(s) Vo(s) 10||1