Hioki IM7580, Instruction Manual

Page: 313 / 340

A
1
Appendix
Appx. 1 Measurement Parameters and Calculation
Formula
In general, impedance
Z
is used to evaluate the characteristics of circuit components.
This instrument measures the voltage and current vectors of circuit components for AC
measurement frequency signals and uses these values to determine the impedance
Z
and phase
difference
θ
. The following values can be determined from impedance
Z
by mapping impedance
Z
to the complex plane.
I
Z
V
jX R Z
+ =
R
X
tan 1 −
=
θ
2 2 X R Z + =
|Z|
θ
R
jX
Imaginary
part
Real part
Z
Impedance (
Ω
)
θ
Phase angle (deg)
R
Resistance (
Ω
)
X Reactance (
Ω
)
|Z|
Absolute value of impedance (
Ω
)
In addition, admittance
Y
, the reciprocal of impedance
Z
can also be used depending on the
characteristics of the circuit components. The following values can also be determined from
admittance
Y
by mapping admittance
Y
to the complex plane in the same way as impedance
Z
.
G
φ
|Y|
jB
Imaginary
part
Real part
jB G Y + =
G
B
tan 1 −
=
φ
2 2
B G Y + =
Y
Admittance (S)
φ
Phase angle (deg) = -
θ
G
Conductance (S)
B
Susceptance (S)
|Y|
Absolute value of admittance (S)
Appendix
10
9
8
7
6
5
4
3
2
1
Appx.
Ind.