Скачать или смотреть Intro. to Frequency Selective Circuits | A resistor is in series with the inductor in the circuit...

Playlist:    • Networks Analysis  


Notes: https://docs.google.com/document/d/1L...

Covers:
Section 14.1 – Some Preliminaries
Section 14.2 – Low-Pass Filters
Section 14.3 – High-Pass Filters


Question:
A resistor Rl is added in series with the inductor in this circuit.
Given: Rl = 75 Ω (Ohm) L = 10 mH (mill H) R = 127 Ω (Ohm)

a) Find the s domain transfer function H(s) = V0/Vi.
H(s) = _____ / (s + _____)

b) At what frequency will the magnitude of H(jw) be maximum?
wH,max = _____ rad/sec

c) What is maximum value of the magnitude of H(jw)?
H(jw)max = _____

d) At what frequency will the magnitude of H(jw) equal its maximum value divided by square root of 2?
wH,max,sqrt(2) = _____ rad/sec

e) Find wc (omegac)
wc = _____ rad/sec

Now examine the transfer function magnitude and phase as the frequency varies.

f) Find H(jw = 0) in polar form..
H(jw = 0) = Mag _____ at angle _____° (Degrees)

g) Find H(jw = 0.3wc) in polar form.
H(jw = 0.3wc) = Mag _____ at angle _____° (Degrees)

h) Find H(jw = wc) in polar form.
H(jw = wc) = Mag _____ at angle _____° (Degrees)

i) Find H(jw = 3wc) in polar form.
H(jw = 3wc) = Mag _____ at angle _____° (Degrees)


Problem:
P14.3_9ed

Timestamps:
00:00 Introduction and formating the problem
01:00 (a) Find the s domain transfer function H(s) = Vo/Vi
02:49 (b) At what frequency will the magnitude of H(jw) be maximum?
03:30 (c) What is maximum value of the magnitude of H(jw)?
04:38 (d) At what frequency will the magnitude of H(jw) equal its maximum value divided by square root of 2?
07:17 (e) Find wc (omegac)
07:30 (f-i) Find H(jw = ...) in polar form