# (Sample)RLC Band-Stop Filter Design Tool - Result -

Calculated the transfer function for the RLC band-stop 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)= s2+6.44745325596E+12 s2+3636363.63636s+6.44745325596E+12

R = 1.2Ω
C = 0.47uF
L = 0.33uH

#### Center rejection frequency

f0 = 404123.618269[Hz]

#### Quality factor

Q = 0.698275484664

#### Damping ratio

ζ = 0.716049769728

#### Pole(s)

p = -289372.623803 +282098.180491i[Hz]
|p|= 404123.618269[Hz]
p = -289372.623803-282098.180491i[Hz]
|p|= 404123.618269[Hz]

#### Zero(s)

z = 0 +404123.618269i[Hz]
|z|= 404123.618269[Hz]
z = 0-404123.618269i[Hz]
|z|= 404123.618269[Hz]

#### Phase margin

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

#### Oscillation frequency

f = 282098.180491[Hz]

#### Overshoot (in absolute value)

The 1st peak  gpk = 0.35 (t =4.3E-07[sec])
The 2nd peak  gpk = 1.03 (t =2.2E-06[sec])
The 3rd peak  gpk = 1 (t =4E-06[sec])

g(∞) = 1

### Q factor | Damping ratio ζ

Quality factor Q =
Damping ratio ζ =
 f0= 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
Phase  Group delay
Nyquist diagram
Pole, zero
Phase margin
Oscillation analysis
Analysis on frequency range:
f1=∼f2=[Hz] (optional)

### Transient analysis

Step response
Impulse response
Overshoot
Final value of the step response
Analysis on time range:
0∼[sec] (optional)