(Solved): 1. (a) Determine the transfer function \( H(\omega) \) of a simple RC circuit (see Fig.1). (b) Ske ...

1. (a) Determine the transfer function \( H(\omega) \) of a simple RC circuit (see Fig.1). (b) Sketch \( |H(\omega)| \) (c) Sketch \( \theta_{h}(\omega) \). (d) Specify bandwidth \( W_{3 d B} \) (e) If the input of the \( \mathrm{RC} \) circuit is \( x(t)=2+0.5 \cos (5000 t) \) then find the output of the RC circuit \( y(t) \) and sketch \( Y(\omega) \). Fig. 1