The formula for the damping factor of a 4-pole Butterworth filter is:
ζ = 1 / (2^(1/2))
Setting this equal to R2 / (2*R1) and solving for R1:
R1 = R2 / (2 * ζ)
R1 = 6.8kΩ / (2 * (1 / (2^(1/2))))
R1 = 6.8kΩ * (2^(1/2))
R1 = 9.6kΩ
The closest answer choice is c) 12.6kΩ.
Given the damping factor is 1.848 and R2 = 6.8k. determine the value of R1 to obtain a 4-pole Butterworth response.
a) 1.0kΩ
b) 44.7kΩ
c) 12.6kΩ
d) 3.7kΩ
1 answer