A rejection network that can be utilised instead of the twin-T network is the bridged-T network shown below.

The transfer function of this network is given by \[
G(s)=\frac{s^{2}+\omega_{n}^{2}}{s^{2}+2\left(\omega_{n} s / Qight)+\omega_{n}^{2}}, \]
where \(\omega_{n}^{2}=\frac{2}{L C}\), and \(Q=\frac{\omega_{n} L}{R_{1}}\), and \(R_{2}\) is adjusted so that \(R_{2}=\frac{\left(\omega_{n} Light)^{2}}{4 R_{1}}\). Show that the expression given for \(G(s)\) is correct.

Transcribed Image Text:

+ V L C R w R1 C V2 Bridged-T network