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Juan Sebastian González Rondón 1016063483 Circuitos Eléctricos 3 FILTROS DE SEGUNDO ORDEN PASA BAJOS PASIVOS ᶔ=0.7 C=29 μf w 0 = 1 LC L= 1 w 0 c =2.8 mH R=2Lw 0 =13.65 H ( s ) = ( w 0 ) 2 S 2 + R L S +( w 0 ) 2 H ( s ) = ( 3483) 2 S 2 + 4876S +( 3483) 2 XFG1 R1 13.65Ω L1 2.8m H C3 29µF XBP1 IN OUT
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Filtros Segundo Orden

Dec 05, 2015

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Page 1: Filtros Segundo Orden

Juan Sebastian González Rondón

1016063483

Circuitos Eléctricos 3

FILTROS DE SEGUNDO ORDEN

PASA BAJOS PASIVOS

ᶔ=0.7

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=13.65Ω

H (s )=(w0)

2

S2+RLS+(w0)

2

H (s )= (3483)2

S2+4876 S+(3483)2

XFG1

R1

13.65Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 2: Filtros Segundo Orden

ᶔ=1

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=19.5Ω

H (s )=(w0)

2

S2+RLS+(w0)

2

H (s )= (3483)2

S2+7686S+(3483)2

Page 3: Filtros Segundo Orden

XFG1

R1

19.5Ω

L12.8mH

C3

29µF

XBP1

IN OUT

ᶔ=1.5

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=29.25Ω

Page 4: Filtros Segundo Orden

H (s )=(w0)

2

S2+RLS+(w0)

2

H (s )= (3483)2

S2+11529 S+(3483)2

XFG1

R1

29.25Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 5: Filtros Segundo Orden

ᶔ=2

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=39Ω

H (s )=(w0)

2

S2+RLS+(w0)

2

H (s )= (3483)2

S2+15372S+(3483)2

XFG1

R1

39Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 6: Filtros Segundo Orden

PASA ALTOS PASIVOS

ᶔ=0.7

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=13.65Ω

H (s )= S2

S2+RLS+(w0)

2

Page 7: Filtros Segundo Orden

H (s )= (S)2

S2+4876 S+(3483)2

XFG1

R1

13.65Ω

L12.8mH

C3

29µF

XBP1

IN OUT

ᶔ=1

C=29μf

Page 8: Filtros Segundo Orden

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=19.5Ω

H (s )= (S )2

S2+RLS+(w0)

2

H (s )= (S)2

S2+7686S+(3483)2

XFG1

R1

19.5Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 9: Filtros Segundo Orden

ᶔ=1.5

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=29.25Ω

H (s )= (S )2

S2+RLS+(w0)

2

H (s )= (S )2

S2+11529 S+(3483 )2

Page 10: Filtros Segundo Orden

XFG1

R1

29.25Ω

L12.8mH

C3

29µF

XBP1

IN OUT

ᶔ=2

C=29μf

w0=√ 1LC

Page 11: Filtros Segundo Orden

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=39Ω

H (s )= (S )2

S2+RLS+(w0)

2

H (s )= (S)2

S2+15372S+(3483)2

XFG1

R1

39Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 12: Filtros Segundo Orden

PASA BANDA PASIVOS

ᶔ=0.7

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=13.65Ω

H (s )=

RL∗S

S2+RLS+(w0)

2

H (s )= 4876 S

S2+4876 S+(3483)2

Page 13: Filtros Segundo Orden

XFG1

R1

39Ω

L12.8mH

C3

29µF

XBP1

IN OUT

ᶔ=1

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=19.5Ω

H (s )=

RL∗S

S2+RLS+(w0)

2

Page 14: Filtros Segundo Orden

H (s )= 7686S

S2+7686S+(3483)2

XFG1

R1

19.5Ω

L12.8mH

C3

29µF

XBP1

IN OUT

ᶔ=1.5

C=29μf

w0=√ 1LC

Page 15: Filtros Segundo Orden

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=29.25Ω

H (s )=

RL∗S

S2+RLS+(w0)

2

H (s )= 11529 S

S2+11529 S+(3483)2

XFG1

R1

29.25Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 16: Filtros Segundo Orden

ᶔ=2

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=39Ω

H (s )=

RL∗S

S2+RLS+(w0)

2

Page 17: Filtros Segundo Orden

H (s )= 15372S

S2+15372S+(3483)2

XFG1

R1

39Ω

L12.8mH

C3

29µF

XBP1

IN OUT

RECHAZA BANDA PASIVOS

Page 18: Filtros Segundo Orden

ᶔ=0.7

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=13.65Ω

H (s )=S2+ (w¿¿0)2

S2+RLS+(w0)

2¿

H (s )= S2+(3483)2

S2+4876 S+(3483)2

XFG1

R1

13.65Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 19: Filtros Segundo Orden

ᶔ=1

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=19.5Ω

Page 20: Filtros Segundo Orden

H (s )=S2+ (w¿¿0)2

S2+RLS+(w0)

2¿

H (s )= S2+(3483)2

S2+7686S+(3483)2

XFG1

R1

19.5Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 21: Filtros Segundo Orden

ᶔ=1.5

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=29.25Ω

H (s )=S2+ (w¿¿0)2

S2+RLS+(w0)

2¿

H (s )= S2+(3483)2

S2+11529 S+(3483)2

XFG1

R1

29.25Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 22: Filtros Segundo Orden

ᶔ=2

C=29μf

w0=√ 1LC

L= 1w0∗c

=2.8mH

R=2∗ᶔ∗L∗w0=39Ω

Page 23: Filtros Segundo Orden

H (s )=S2+ (w¿¿0)2

S2+RLS+(w0)

2¿

H (s )= S2+(3483)2

S2+15372S+(3483)2

XFG1

R1

39Ω

L12.8mH

C3

29µF

XBP1

IN OUT

Page 24: Filtros Segundo Orden

PASA BAJOS ACTIVOS

ᶔ=0.7

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1.6

H (s )=(w0)

2

S2+2 ᶔ w0S+(w0)2

H (s )= (3483)2

S2+4876 S+(3483)2

R5= (A−1 ) R=6

R2

10Ω

R3

10Ω

R410Ω

R5

C1

290µF

C2290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

Page 25: Filtros Segundo Orden

ᶔ=1

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1

H (s )=(w0)

2

S2+2 ᶔ w0S+(w0)2

H (s )= (3483)2

S2+7686S+(3483)2

R5= (A−1 ) R=0

Page 26: Filtros Segundo Orden

R2

10Ω

R3

10Ω

R410Ω

R5

10Ω

C1

290µF

C2290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

ᶔ=1.5

R=10Ω

Page 27: Filtros Segundo Orden

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=0

H (s )=(w0)

2

S2+2 ᶔ w0S+(w0)2

H (s )= (3483)2

S2+11529 S+(3483)2

R5= (A−1 ) R=−10

R2

10Ω

R3

10Ω

R410Ω

R5

-10Ω

C1

290µF

C2290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

Page 28: Filtros Segundo Orden

ᶔ=2

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=−1

H (s )=(w0)

2

S2+2 ᶔ w0S+(w0)2

H (s )= (3483)2

S2+15372S+(3483)2

Page 29: Filtros Segundo Orden

R5= (A−1 ) R=−20

R2

10Ω

R3

10Ω

R410Ω

R5

-20Ω

C1

290µF

C2290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

Page 30: Filtros Segundo Orden

PASA ALTAS ACTIVOS

ᶔ=0.7

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1.6

H (s )= S2

S2+2 ᶔ w0S+(w0)2

H (s )= S2

S2+4876 S+(3483)2

R5= (A−1 ) R=6

Page 31: Filtros Segundo Orden

R210Ω

R410Ω

R5

C1

290µF

C2

290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

R3

10Ω

Page 32: Filtros Segundo Orden

ᶔ=1

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1

H (s )= S2

S2+2 ᶔ w0S+(w0)2

H (s )= S2

S2+7686S+(3483)2

R5= (A−1 ) R=10

R210Ω

R410Ω

R5

10Ω

C1

290µF

C2

290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

R3

10Ω

Page 33: Filtros Segundo Orden

ᶔ=1.5

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

Page 34: Filtros Segundo Orden

A=0

H (s )= S2

S2+2 ᶔ w0S+(w0)2

H (s )= S2

S2+11529 S+(3483)2

R5= (A−1 ) R=−10

R210Ω

R410Ω

R5

-10Ω

C1

290µF

C2

290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

R3

10Ω

Page 35: Filtros Segundo Orden

ᶔ=2

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=−1

Page 36: Filtros Segundo Orden

H (s )= S2

S2+2 ᶔ w0S+(w0)2

H (s )= S2

S2+15372S+(3483)2

R5= (A−1 ) R=−20

R210Ω

R410Ω

R5

-20Ω

C1

290µF

C2

290µF

XFG2

U1

OPAMP_5T_VIRTUAL

VCC5V

R3

10Ω

Page 37: Filtros Segundo Orden

PASA BANDA ACTIVOS

ᶔ=0.7

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1.6

Page 38: Filtros Segundo Orden

H (s )=2 ᶔ w0∗S

2

S2+2 ᶔ w0S+(w0)2

H (s )= 4876∗S2

S2+4876 S+(3483)2

R5= (A−1 ) R=6

ᶔ=1

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

Page 39: Filtros Segundo Orden

A=3−2 ᶔ

A=1

H (s )=2 ᶔ w0∗S

2

S2+2 ᶔ w0S+(w0)2

H (s )= 7686∗S2

S2+7686S+(3483)2

R5= (A−1 ) R=0

ᶔ=1.5

R=10Ω

C= 1R∗w0

Page 40: Filtros Segundo Orden

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=−1

H (s )=2 ᶔ w0∗S

2

S2+2 ᶔ w0S+(w0)2

H (s )= 11529∗S2

S2+11529 S+(3483)2

R5= (A−1 ) R=−10

ᶔ=2

R=10Ω

Page 41: Filtros Segundo Orden

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=−2

H (s )=2 ᶔ w0∗S

2

S2+2 ᶔ w0S+(w0)2

H (s )= 11529∗S2

S2+11529 S+(3483)2

R5= (A−1 ) R=−20

Page 42: Filtros Segundo Orden

RECHAZABANDA

ᶔ=0.7

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1.6

H (s )=S2+w0

2

S2+2 ᶔ w0S+(w0)2

H (s )= S2+34832

S2+4876 S+(3483)2

R5= (A−1 ) R=6

Page 43: Filtros Segundo Orden

ᶔ=1

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=1

H (s )=S2+w0

2

S2+2 ᶔ w0S+(w0)2

Page 44: Filtros Segundo Orden

H (s )= S2+34832

S2+7686S+(3483)2

R5= (A−1 ) R=0

ᶔ=1.5

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

A=3−2 ᶔ

A=0

Page 45: Filtros Segundo Orden

H (s )=S2+w0

2

S2+2 ᶔ w0S+(w0)2

H (s )= S2+34832

S2+11529 S+(3483)2

R5= (A−1 ) R=−10

ᶔ=2

R=10Ω

C= 1R∗w0

C= 110∗3483

=29 μf

Page 46: Filtros Segundo Orden

A=3−2 ᶔ

A=−2

H (s )=S2+w0

2

S2+2 ᶔ w0S+(w0)2

H (s )= S2+34832

S2+15372S+(3483)2

R5= (A−1 ) R=−20

Page 47: Filtros Segundo Orden