Draw the filter with all capacitor and inductor values as

Question

1. Find the components values for the network shown below that realizes the impedance function

Z˜(s) = (320s⁵ + 60s⁴ + 176s³ + 32s² + 8s +1)/(80s⁵ + 224s⁴ + 78s³ + 40s²+ 5s)

2. Design a fifth-order maximally flat (Butterworth) low-pass filter with a cutoff frequency of 2 MHz and a generator impedance of 50 ?. The first element closet to the source must be a capacitor. Draw the filter with all capacitor and inductor values, as well as the generator and load impedance, clearly labeled.

3. Design a fifth-order maximally flat (Butterworth) high-pass filter with a cutoff frequency of 2 MHz and a generator impedance of 50 ?. The first element closet to the source must be a capacitor. Draw the filter with all capacitor and inductor values, as well as the generator and load impedance, clearly labeled.