YOKOGAWA wt3000, User Manual, Page: 355 / 384

App-23
IM 760301-01E
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App App
Index
Appendix
• Series RLC Circuit
The equation below expresses the voltage relationship when resistance R
S
[ Ω ],
inductance L [H], and capacitance C [F] are connected in series.
U = (U
R
S
)
2
+ (U
L –
U
C
)
2
= (IR
S
)
2
+ (IX
L –
IX
C
)
2
= I (R
S
)
2
+ (X
L –
X
C
)
2
= I R
S
2
+ X
S
2
I =
U
R
S
2
+ X
S
2
, φ = tan
–1
X
S
R
S
R
S
I
U
R
S
I
L
U
L
C
U
C
U
U
C
U
L
U U
R
S
φ
The relationship between resistance R
S
, reactance X
S
, and impedance Z is expressed
as follows:
Z = R
S
2
+ X
S
2
X
S
= X
L
– X
C
• Parallel RLC Circuit
The equation below expresses the current relationship when resistance R
P
[
Ω
],
inductance L [H], and capacitance C [F] are connected in parallel.
I= (I
R
P
)
2
+ (I
L –
I
C
)
2
=
U =
IR
P
X
P
R
P
2
+ X
P
2
, φ = tan
–1
R
P
X
P
R
P
U
2
+
X
L
U
–
X
C
U
2
=
R
P
1
2
+
X
L
1
–
X
C
1
2
U =
R
P
1
2
+
X
P
1
2
U
R
P
L
C
I
I
R
P
I
L
I
C
U
U
I
C
I
L
I
I
R
P
φ
The relationship between resistance R
P
, reactance X
P
, and impedance Z is expressed
as follows:
Z =
R
P
X
P
R
P
2
+ X
P
2
X
P
=
X
L
X
C
X
C
– X
L
Appendix 4 Power Basics (Power, Harmonics, and RLC of AC Circuits)