Hioki IM3570, Instruction Manual

Page: 420 / 458

Appendix 1 Measurement Parameters and Arithmetic Expressions
A2
From the voltage V which is applied between the terminals of the sample under test, the current I which
flows through the test sample at this time, the phase angle

between this voltage
V
and this current I,
and the angular velocity

which corresponds to the test frequency.
*


: phase angle of admittance Y (

= -

)
Ls
,
Rs
,
Cs
: The measured values of
L
,
C
, and
R
in series equivalent circuit mode.
Lp , Rp , Cp : The measured values of L , C , and R in parallel equivalent circuit mode.
The phase angle

is shown based on the impedance
Z
. When measuring based on the
admittance Y , the sign of the phase angle

must be reversed.
Item Series equivalent circuit mode Parallel equivalent circuit mode
Z
Y
R
X
G
B
L
C
D
Q
Z
V
I
--- R
2
X
2
+ =
 
 
=
Y
1
Z
------ G
2
B
2
+ =
 
 
=
R
S
ESR Z

cos = =
R
P
1
Y

cos
------------------
1
G
---- =
 
 
=
*
X Z

sin =
G Y

cos =
*
B Y

sin =
*
L
S
X

---- = L
P
1

B
--------
–
=
C
S
1

X
-------- –
= C
P
B

---- =
D

cos

sin
-------------- =
Q

sin

cos
--------------
1
D
---- =
 
 
=