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(Sample)RLC Band-pass Filter Design Tool - Result -

Calculated the transfer function for the RLC Band-pass filter, displayed on graphs, showing Bode diagram, Nyquist diagram, Impulse response and Step response.

RLC
Filter

Vin(s)→ →Vout(s)
(Sample) Transfer function:
G(s)= 5909.09090909s
s2+5909.09090909s+9671179.88395


R = 13Ω
C = 47uF
L = 0.0022H



Center passes frequency
    f0 = 494.948328884[Hz]


Quality factor
    Q = 0.526282657637


Damping ratio
    ζ = 0.95005980673


Pole(s)
    p = -470.230513681 +154.457477218i[Hz]
          |p|= 494.948328884[Hz]
    p = -470.230513681-154.457477218i[Hz]
          |p|= 494.948328884[Hz]

Zero(s)
    z = 0[Hz]
          |z|= 0[Hz]


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


Oscillation frequency
    f = 154.457477218[Hz]


Overshoot (in absolute value)
    The 1st peak  gpk = 0.72 (t =0.00031[sec])
    The 2nd peak  gpk = -5.1E-05 (t =0.0036[sec])
    The 3rd peak  gpk = 3.6E-09 (t =0.0068[sec])


Final value of the step response (on the condition that the system converged when t goes to infinity)
    g(∞) = 0

Q factor | Damping ratio ζ Quality factor Q =
Damping ratio  ζ =
fc= Hz
L = H C = F
Give two values from three parameters of f0 ,L, C.

Select Capacitor Sequence:
Select Resistor Sequence:
Select Inductance Sequence:

Frequency analysis Bode diagram
Nyquist diagram(f =0→∞)
Pole, zero
Phase margin
Oscillation analysis
Transient analysis Step responseImpulse response
Overshoot
Final value of the step response

Frequency analysis






Transient analysis




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