Short Notes: Resonance | Short Notes for Electrical Engineering - Electrical Engineering (EE) PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


 
 
 
 
 
 
Series resonance 
For resonance 
? ?
?
m
I Z 0 
? ?
? ? ? ?
?
1
Z R j L
c
 
? ? ? ? ?
?
1
1
L rad s
c
LC
 
The frequency at which impedance of circuits is purely resistive is called resonant frequency. 
??
0
1
rad s
LC
 
At resonance 
S
V
I
R
?
 
??
RS
V IR V 
??
??
??
??
? ? ? ?
S
L o o
V
V j LI j L
R
 
??
??
??
??
??
??
??
S
c
0o
V jj
VI
c C R
 
 
At ? ? ? ?
0 L C
; X X , net reactance is capacitive so circuits operates at leading pf. 
At ? ? ? ?
0 L C
; X X , net reactance is zero, so circuits operates at unity pf. 
At ? ? ? ?
0 L C
; X X , net reactance is inductive, so circuits operates at lagging pf. 
Bandwidth: range of frequency for which power delivered to R is half of power at resonance. 
R
Bw
L
?
 
Quality factor 
? ? ?
22
22
LC
11
I X I X
Reactive power
22
Q
11 Average power
I R I R
22
 
? ? ?
LC
XX
1L
Q
R R R C
 
Page 2


 
 
 
 
 
 
Series resonance 
For resonance 
? ?
?
m
I Z 0 
? ?
? ? ? ?
?
1
Z R j L
c
 
? ? ? ? ?
?
1
1
L rad s
c
LC
 
The frequency at which impedance of circuits is purely resistive is called resonant frequency. 
??
0
1
rad s
LC
 
At resonance 
S
V
I
R
?
 
??
RS
V IR V 
??
??
??
??
? ? ? ?
S
L o o
V
V j LI j L
R
 
??
??
??
??
??
??
??
S
c
0o
V jj
VI
c C R
 
 
At ? ? ? ?
0 L C
; X X , net reactance is capacitive so circuits operates at leading pf. 
At ? ? ? ?
0 L C
; X X , net reactance is zero, so circuits operates at unity pf. 
At ? ? ? ?
0 L C
; X X , net reactance is inductive, so circuits operates at lagging pf. 
Bandwidth: range of frequency for which power delivered to R is half of power at resonance. 
R
Bw
L
?
 
Quality factor 
? ? ?
22
22
LC
11
I X I X
Reactive power
22
Q
11 Average power
I R I R
22
 
? ? ?
LC
XX
1L
Q
R R R C
 
 
 
 
 
 
 
Parallel Resonance 
? ? ? ?
?
1
1
Y j C
R
jL
 
At resonance 
? ?
?
m
I Y 0 
??
o
1
rad s
LC
 
?
S
At resona e V c I n R 
?
RS
II 
??
??
S
L
00
IR V
I
j L j L
 
? ? ? ?
? ? ? ?
C 0 S 0
I V j C I R j C 
? Bandwidth 
1
RC
 
 
?
Reactive P
Quality fa
ower
Q
Average
ctor, 
Power
 
2 2
C L
22
LC
V V
2X 2X
R R C
QR
X X L
VV
2R 2R
? ? ? ? ?
 
 
 
 
 
 
 
 
 
 
 
Read More
69 docs

Top Courses for Electrical Engineering (EE)

Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Sample Paper

,

Extra Questions

,

ppt

,

practice quizzes

,

study material

,

Viva Questions

,

mock tests for examination

,

video lectures

,

Exam

,

MCQs

,

Previous Year Questions with Solutions

,

Objective type Questions

,

Important questions

,

Short Notes: Resonance | Short Notes for Electrical Engineering - Electrical Engineering (EE)

,

pdf

,

Semester Notes

,

Short Notes: Resonance | Short Notes for Electrical Engineering - Electrical Engineering (EE)

,

Summary

,

shortcuts and tricks

,

Short Notes: Resonance | Short Notes for Electrical Engineering - Electrical Engineering (EE)

,

past year papers

,

Free

;