App-33
IM 253710-01E
Appendix
App
R, L, C series circuit
The voltage when resistance R
S
[
Ω
], inductance L[H], and static capacitance C[F] are
connected in series is expressed by the following equation.
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 relationships between resistance R
S
, reactance X
S
, and impedance Z are
expressed as follows :
Z
=
R
S
2
+
X
S
2
X
S
= X
L
– X
C
R, L, C parallel circuit
The current when resistance R
P
[
Ω
], inductance L[H], and static capacitance C[F] are
connected in parallel is expressed by the following equation.
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 are
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 7 Power Basics (Power/Harmonics/Three Constants Related to the AC Circuit)