(Sample) 2nd order CR Low-pass Filter Design Tool - Result -

Calculated the transfer function for 2nd order CR Low-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

2nd order CR filter

Vi(s)→

→Vo(s)

(Sample)Transfer Function:

G(s)=

10000000000 s2+201000s+10000000000

Center frequency

fc = 15915.4943092[Hz]

Q factor

Q = 0.497512437811

Damping ratio ζ

ζ = 1.005

Pole(s)

p = -14401.5341549[Hz]
  |p|= 14401.5341549[Hz]
p = -17588.6094066[Hz]
  |p|= 17588.6094066[Hz]

Phase margin

pm= NAN[deg] (f =0[Hz])

The system does not oscillate.

Overshoot (in absolute value)

The peak of transient waveform is not detected.

Final value of the step response (on the condition that the system converged when t goes to infinity)

g(∞) = 1

Frequency analysis

Transient analysis