. ż ż 57 a v i ż ż v o b a ż v i ż v i ż v o ż v o a b 57. v i ż ż v o v o = Ġ v i (86) = ż ż + ż v i (87) v o v i Ġ = ż ż + ż (88) v i v o?? Ġ 6

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1 D:.BUN B C ω s Bode Diagram db C ω s L ω s Bode Diagram L ω s Bode Diagram

2 . ż ż 57 a v i ż ż v o b a ż v i ż v i ż v o ż v o a b 57. v i ż ż v o v o = Ġ v i (86) = ż ż + ż v i (87) v o v i Ġ = ż ż + ż (88) v i v o?? Ġ 6

3 . C 58 C v i C v o 58. C Ġ ż = ż = iωc?? iy Ġ = iωc + iωc = iωc + ωc x 59. ωc + iωc + = + ω C e i = tan (ωc) Ġ Ġ = + ω C e i Ġ = + ω C e i (89) 6

4 = tan (ωc) (9) Ġ Ġ?? Ġ e i (9) + ω C = tan (ωc) (9) e i.3 ω s ω ω s ωc (93)?? + ω s (94) = tan (ω s ) ω s C ω s ω s C Ġ / 63

5 ω s. =..7 ω s log.5 log ω s log db 3 log ω s ω s.4 Bode Diagram (Bode Diagram) ω s 6. C 64

6 .5 6 ω s = = (95) ω s ω s.7 45 C C ω c f c ω s = ωc = ω c = C f c = πc (96) 8 ω s = 7 ω = / C =. = db 6 ω s > ω s 6 db/oct db/decdec=decade / / 65

7 .6 db A xdb= log A (97).7 log.7= 3dB A... x db A.5.7 x db E XB= log E B Bell db / xdb= log (98)???? = E = A log E = log A 66

8 .7 C 6 C C iy v i v o ωc x ż 6. C 6. + iωc Ġ C ż C = iωc ż = Ġ = ż ż C + ż = iωc + 6 iωc + = + e i ω C ( = + e i = tan ) ω C ωc Ġ Ġ = + ω C e i Ġ = e i (99) + ω C 67

9 ( ) = tan ωc () Ġ?? Ġ e i () + ω C = tan ( ωc ) () e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 68

10 .8 ω s ω ω s ωc + ωs = tan ( ω s ) (3) ω s = ωc ω s ωc C ω s ω s C Ġ ω ω s ω s 69

11 log = log = log + ωs ( ω s + ω s = log ( + ω s ) ) = {log (ωs + ) log ωs } ω s {log (ωs + ) log ωs } =.. {log () log ωs } = log ωs ω s log ωs ω s log ω s = log = log = log =.3=.55 ω s = log ω s ω s. =..7 log log ω s.5 log db log ω s 3. log log 7

12 Bode Diagram (Bode Diagram) ω s 63. C.9 63 ω s = = (4) 7

13 ω s ω s.7 45 C C ω c f c ω s = ωc = ω c = C f c = πc (5)?? ω s =?? ω = / C =. = db 63 ω s > ω s 6 db/oct db/decdec=decade / / 7

14 . L LLO L L iy v i v o ωl x 64. L iωl Ġ L ż L = iωl ż = Ġ = ż ż L + ż = iωl + (6) 65 iωl + = + ω L ( ωl e i = tan ) Ġ Ġ = + ω L e i = + ω L e i = + ω L e i 73

15 Ġ = + ω L e i (7) ) ( ωl = tan Ġ?? Ġ e i (8) + ω L = tan ( ωl ) (9) e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 74

16 . ω s ωl ω s ω s L ω ()?? + ω s () = tan ω s ω s L/ ω L ω s ω s Ġ ω s ω s ω s?? 75

17 ( ) log = log = log + ω ( + ωs ) s = log ( + ω s ) ω s ω s = ω s = ω s ω s. =..7 log log ω s.5 log db log ω s 3. log log 76

18 . Bode Diagram?? (Bode Diagram) ω s 66. L

19 ω s = = () ω s ω s.7 45 L ω s = ω = L L ω c f c ω s =L/ ω = ω c = L f c = πl (3)?? ω s =?? ω = /L =. = db 66 ω s > ω s 78

20 6 db/oct db/decdec=decade / / 79

21 .4 L 67 L v i L v o iy ωl ż x 67. L 68. i ωl Ġ L ż = ż L = iωl Ġ = ż L + ż L = iωl + iωl = = iωl + i ωl 68 i ωl = + ω L ( e i = tan ) ωl Ġ Ġ = + ω L e i 8

22 Ġ = + ω L e i (4) = tan ( ωl ) (5) Ġ?? Ġ e i (6) + ω L = tan ( ωl ) (7) e i y = tan = tan y tan tan tan y= tan y π/ y π/ y π/ π/ = tan y y = tan 8

23 .5 ω s ωl ω s ω s L ω + ωs = tan ( ω s ) (8) ω s = L ω ω s L/ ω L ω s ω s Ġ ω s ω s ω s 8

24 log = log = log + ωs ( ω s + ω s = log ( + ω s ) ) = {log (ωs + ) log ωs } ω s {log (ωs + ) log ωs } =.. {log () log ωs } = log ωs ω s log ωs ω s log ω s = log = log = log =.3=.55 ω s = log ω s ω s. =..7 log log ω s.5 log db log ω s 3 4. log log 83

25 .6 Bode Diagram (Bode Diagram) ω s 69. L

26 ω s = = (9) ω s ω s.7 45 L L ω c f c ω s =L/ ω = ω c = L f c = πl ()?? ω s =?? ω = /L =. = db 69 ω s < ω s / 6 db/oct oct=octave / db/decdec=decade 85

27

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