(Solved): Electical circuit , please solve a&b Q5: (A) The frequency response transfer function of a certa ...

Q5: (A) The frequency response transfer function of a certain electrical circuit is as given below. Simplify the following transfer function to write the magnitude equation in \( (\mathrm{dB}) \) and the phase equation and what are the important angular frequencies for its magnitude frequency response (Note: Bode plot is not required). \[ H(\omega)=\frac{(j 20 \omega)^{2}(3+j \omega)}{(2+j \omega)(6+j \omega)^{2}} \] (10 Marks) (B) It is desired to receive a signal with \( 20 \mathrm{kHz} \) bandwidth transmitted at center frequency of \( \left(f_{0}=180 \mathrm{kHz}\right) \) using a parallel RLC resonant circuit with \( \mathrm{R}=100 \) \( \Omega \), find; the quality factor-Q, \( \omega_{1}, \omega_{2}, \mathrm{~L} \) and \( \mathrm{C} \). (10 Marks) \( 400(j w)^{2} \frac{1}{5}\left(1+\frac{j}{3}\right) \)