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Ece 232
Advanced Electrical Circuit Analysis Lab Manual 5
High pass and Low pass filters
1. ! !" = !! !"!! !"
= !!∗!"!
!!∗!"!!!"!
! != !!∗!"!!
!!∗!"!!!!"!!
!" ! = 0 ! !" = 0, !" ! = ∞ ! !" = 1 ∶ ℎ!"ℎ − !"## !"#$%&
Magnitude ( ! !" )!"# = 1
!(!") =33 ∗ 10!!
(33 ∗ 10!!)! + 10!"
For corner frequency (half power frequency)
! !!! =12|!(!") |!"#
(33 ∗ 10! ∗ !!)!
33! ∗ 10! ∗ !!! + 10!"=12
!!! =10!"
33! ∗ 10!
!! =10!
33≅ 3030!"#/ sec !! =
30302!
= 483!"#$%
phase
! !" =33 ∗ 10!!
33 ∗ 10!! − 10!!=33 ∗ 10!! ∗ 33 ∗ 10!! + 10!!
33! ∗ 10!!! + 10!"
in frequency domain
arg ! !" = tan!!( !"!
!!∗!"!!)
2.
S is open in phasor domain
!! !" =!!! !"!! !"
=2700
2700 + 0.1!"
!" ! = 0 ! !" = 1, !" ! = ∞ ! !" = 0 ∶ !"# − !"## !"#$%&
Magnitude ( !! !" )!"# = 1
!! !" =2700
2700! + 0.1!!!
phase
!! !" =2700 ∗ (2700 − 0.1!")
2700! + 0.1!!!
arg ! !" = tan!!(−0.1!2700
) = tan!!(−!27000
)
For half-‐power frequency !!
! !!! =12|!(!") |!"#
2700!
2700! ∗ (0.1!!)!=12
!! = 27000!"#/!"# !! =270002!
= 4299!"#$%