Appx.
2
Measurement Parameters and Calculation Formula
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
θ
between this voltage V and this
current I, and the angular velocity
ω
which corresponds to the measurement frequency.
The phase angle
θ
is shown based on the impedance
Z
. When measuring based on the admittance
Y
, the
sign of the phase angle
θ
must be reversed.
Item
Series equivalent circuit mode
Parallel equivalent circuit mode
Z
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
Y
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
R
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
*
X
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
G
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
*
B
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
*
L
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
C
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
D
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
Q
(
)
2
2
X
R
I
V
Z
+
=
=
(
)
2
2
B
G
Z
1
Y
+
=
=
θ
cos
Z
ESR
R
S
=
=
=
=
G
1
cos
Y
1
R
P
φ
θ
sin
Z
X
=
φ
cos
Y
G
=
φ
sin
Y
B
=
ω
X
L
S
=
B
1
L
P
ω
−
=
X
1
C
S
ω
−
=
ω
B
C
P
=
θ
θ
sin
cos
D
=
=
=
D
1
cos
sin
Q
θ
θ
*
ϕ
: phase angle of admittance
Y
(
ϕ
=-
θ
)
Ls
,
Cs
,
Rs
: The measured values of
L
,
C
, and
R
in series equivalent circuit mode.
Lp
,
Cp
,
Rp
: The measured values of
L
,
C
, and
R
in parallel equivalent circuit mode.
Summary of Contents for IM3536
Page 20: ...16 Operating Precautions ...
Page 34: ...30 Screen Layout and Operation ...
Page 140: ...136 Testing the System Self diagnosis ...
Page 224: ...220 About Measurement Times and Measurement Speed ...
Page 240: ...236 Discarding the Instrument ...