Hioki BT4560 - Appendix; Appx. 1 Measurement

A1
Appendix
Appx. 1 Measurement Parameters and Calculation
Formula
In general, the impedance
Z
is used to evaluate the characteristics of, for example, circuit
components.
This instrument measures the voltage vectors of the object being measured against measurement
current vectors, and then determines the impedance
Z
and the phase difference
θ
from these
values. From the values of the impedance
Z
and the phase difference
θ
, the values of the
resistance and the reactance can be calculated using the following formula. These values are
illustrated on the complex plane are illustrated in the diagram below.
Z
I
V
ZRjX= +
θ
=
−
tan
1
X
R
ZRX= +
22
Imaginary
part
ZRjX= +
ZRX= +
22
θ
=
−
tan
1
X
R
ZRjX= +
Real part
ZRjX= +
: Impedance (
Ω
)
θ
=
−
tan
1
X
R
: Phase angle (deg)
ZRjX= +
: Resistance (
Ω
)
θ
=
−
tan
1
X
R
: Reactance (
Ω
)
ZRX= +
22
: Absolute value of impedance (
Ω
)
Appendix
10
9
8
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6
5
4
3
2
1
Appx. Ind.