s
X
s
R
(
)
s
X
,
R
Z
s
Z
θ
Real Axis
Imaginary Axis
Figure 1.1
( )
(
)
(
)
(
)
(
)
Ohm
Reactance
Resistance
Impedance
1
2
2
=
Ω
=
=
=
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
=
=
+
=
=
Ω
∠
=
+
=
−
S
S
s
s
s
s
s
s
s
s
X
R
Z
R
X
Tan
Sin
Z
X
X
R
Z
Cos
Z
R
Z
jX
R
Z
θ
θ
θ
θ
There are two different types of reactance: Inductive (X
L
) and
Capacitive (X
C
). It can be defined as follows:
L = Inductance (H)
C = Capacitance (F)
f = Frequency (Hz)
fC
C
X
fL
L
X
C
L
π
ω
π
ω
2
1
1
2
=
=
=
=
Also, there are quality factor (Q) and the dissipation factor (D) that
need to be discussed. For component, the quality factor serves as a
measure of the reactance purity. In the real world, there is always
4