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Z =R− J X Z=R+Jx Z=R+Jx: = 1 2 Πfc = 2 Πfl = −

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SERIES CIRCUIT

TYPES OF
CIRCUIT
RC

IMPEDAN
CE, Z
(RECTAN
GULAR
FORM)

Z =R j X C

RLC

Z =R + j X L

Where,

XC=

IMPEDAN
CE, Z
(POLAR
FORM)

RL

Z =R + j X tot

Where,

1
2 fC

Where,

X L=2 fL

Z = R 2+ X C 2<tan1

XC
R

( )

X tot =| X L X C|

Z = R 2+ X L 2<tan 1

( )

XC

Z = R 2+ X tot 2< tan1

XL

IMPEDAN
CE
TRIANGL
E

XL
R

XL

PHASE
ANGLE,

=tan1

( XR )

=tan 1

( XR )

=tan1

( XR )

=tan 1

( XR )

VL

VR
PHASOR
DIAGRAM

XC

= ta

= tan1

VL

( XR )
tot

VC

VR
V

VR
I

V = V R2 + V C 2

=tan

VC
VR

( )

V = V R2 + V L 2

=tan

V
V R +( L
V =
2

VC

VL
VR

( )
= tan1

V =IZ
CURRENT
,I

I=

V =IZ

V
Z

I=

( a<b O )
( c< d O )

( ac )< (b d )
O

V =IZ

V
Z

I=

( a<b O )
( c<d O )

( ac )< (b d )
O

V
Z

( a<b O )
( c< d O )

( ac )< (b d )
O

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