Tài liệu Circuits & Electronics P18 doc

6.002 Fall 2000 Lecture 1 18 6.002 CIRCUITS AND ELECTRONICS Filters 6.002 Fall 2000 Lecture 2 18 Review + – C v I v + – R C Reading: Section 14.5, 14.6, 15.3 from A & L. + – c V i V + – R Z C Z i RC C c V ZZ Z V ⋅ + = RCj1 1 R Cj 1 Cj 1 V V i c ω ω ω + = + = 6.002 Fall 2000 Lecture 3 18 A Filter RCj1 1 V ZZ Z V i RC C c ω + =⋅ + = “Low Pass Filter” ω 1 () i c V V H = ω Demo with audio + – c V i V + – R Z C Z 6.002 Fall 2000 Lecture 4 18 Quick Review of Impedances- Just as 21 ab ab AB RR I V R +== LjR I V Z 1 ab ab AB ω +== 1 R ab I + – ab V 2 R A B 1 R ab I + – ab V Lj ω A B 6.002 Fall 2000 Lecture 5 18 Quick Review of Impedances Similarly L2C1AB ZR||ZRZ ++= L 2 C 2C 1 Z RZ RZ R + + += Lj CRj1 R R 2 2 1 ω ω + + += 1 R L A B 2 R C 6.002 Fall 2000 Lecture 6 18 We can build other filters by combining impedances () ω Z L R C ω Z 6.002 Fall 2000 Lecture 7 18 We can build other filters by combining impedances HPF High Pass Filter ω ( ) ω H ω ( ) ω H LPF Low Pass Filter ω ( ) ω H HPF () ω Z L R C ω Z + – + – + – 6.002 Fall 2000 Lecture 8 18 Check out: R Cj 1 Lj R V V i r ++ = ω ω RCjLC1 R Cj 2 ωω ω +− = () () 2 2 2 i r RCLC1 RC V V ωω ω +− = ω + – L C R + – r V i V LC 1 o = ω At resonance, ω = ω o and Z L + Z C = 0, so V i sees only R ! More later… Intuitively: i r V V 1 L b l o ck s h i g h f re q C b l o c k s l o w f r e q 6.002 Fall 2000 Lecture 9 18 What about: + – L C R + – lc V i V Band Stop Filter i lc V V ω 1 C open L open Check out V l and V c in the lab. 6.002 Fall 2000 Lecture 10 18 Another example: + – + – L R i V C o V i o V V o ω ω BPF C s h o r t L s h o r t Application: see AM radio coming up shortly . 1 18 6.002 CIRCUITS AND ELECTRONICS Filters 6.002 Fall 2000 Lecture 2 18 Review + – C v I v + – R C Reading: Section 14.5, 14.6, 15.3 from A & L. +