33-8 three simple circuits
DESCRIPTION
33-8 Three Simple Circuits. A series RLC circuit. A Resistive Load. Phasor - a vector rotating around a origin with d. A capacitive load. An inductive load. 33-9 The Series RLC Circuits. X L > X C : inductive load X L < X C : capacitive load X L = X C : resonance. - PowerPoint PPT PresentationTRANSCRIPT
33-8 Three Simple Circuits
A series RLC circuit
A Resistive Load
)sin(sin
sinsin
tItR
V
R
vi
tVtv
dRdRR
R
dRdmR E
RIV
tItR
V
R
vi
tVtv
RR
dRdRR
R
dRdmR
load resistivepurely afor 0
)sin(sin
sinsin
E
Phasor - a vector rotating around a origin with d
A capacitive load
tCVdt
dqi
tCVCvqtVv
dCdC
C
dCCCdCC
cos
sin sin
CCC
dCdC
CC
dd
dC
dCdC
C
XIV
tItX
Vi
tt
CX
tCVdt
dqi
90
)sin()90sin(
)90sin(cos
reactance) e(capacitiv 1
cos
An inductive load
tL
V
dt
didt
diLvtVv
dLL
LLdLL
sin
sin
LLL
dLdL
LL
dd
dL
dL
dL
LL
XIV
tItX
Vi
tt
LX
tL
Vtdt
L
Vdii
90
)sin()90sin(
)90sin(cos
reactance) (inductive
cos)( sin
33-9 The Series RLC Circuits
ZXXRI
IXIXIR
VVV
vvv
m
CL
m
CL
CLRm
LCR
EE
E
E
22
22
222
)(
)()(
)(
R
XX
V
VV
Z
ZXXRI
CL
R
CL
m
CL
m
tan
impedance
)( 22
EE
XL > XC: inductive load
XL < XC: capacitive load
XL = XC: resonance
LCCLXX
CLRI
dd
dCL
dd
m
11
)/1( 22
E