5th Order Butterworth Low Pass Filter Fifth Order Butterworth LPF Design a fifth order Butterworth low pass filter with a gain () of 1 and a cutoff frequency 10000 Hz. The normalized Butterworth low pass filter equation is: V2 ( s ) H ( s ) V1 ( s ) R1 R2C1C2 s 2 R1C1 R1C2 R2C2 R1C1 s 1 For a gain () of 1 V2 ( s) 1 H ( s ) V1 ( s) R1 R2C1C2 s 2 R1C1 R1C2 R2C2 (1) * R1C1 s 1 V2 ( s ) 1 H ( s ) V1 ( s ) R1 R2C1C2 s 2 R1C2 R2C2 s 1