APPENDIX
131
Angle (
θ
) Formula
Background
The Angle (
θ
) measures the phase on which
Impedance (Z), Admittance (Y), Quality factor (Q),
and Dissipation factor (D) are measured.
Type
Angle (
θ
)
Formula
jX
R
Z
S
C
j
R
L
j
R
D
Q
1
90
tan
1
cos
Z
R
S
sin
Z
X
S
jB
G
Y
P
L
j
G
C
j
G
Q
D
1
90
tan
cos
Y
G
P
sin
Y
B
P
LCR-800
User
Manual
132
Accuracy Definitions
Primary Measurement Readout Error Formula
C
2 counts
±
0.03%+0.02%[(1+Ka)
#
or (X/Ymax )
#
or
(Ymin/X)
#
] (1+
│
D
│
)(1+Kb+Kc)
R
2 counts
±
0.03%+0.02%[(1+Ka)
#
or (X/Ymax )
#
or
(Ymin/X)
#
] (1+
│
Q
│
)(1+Kb+Kc)
L
2 counts
±
0.03%+0.02%[(1+Ka)
#
or(X/Ymax)
#
or(Ymin/X)
#
] (1+ 1 /
│
Q
│
)(1+Kb+Kc)
|Z|
Ze = Depends on whether the component is a
capacitor(C), resistor(R) or inductor(L):
Circuit
Formula for relevant circuit
C
Ze = 2 counts
±
0.03%+0.02%[(1+Ka)
#
or(X/Ymax)
#
or(Ymin/X)
#
]
(1+
│
D
│
)(1+Kb+Kc)
R
Ze = 2 counts
±
0.03%+0.02%[(1+Ka)
#
or(X/Ymax)
#
or(Ymin/X)
#
]
(1+
│
Q
│
)(1+Kb+Kc)
L
Ze=2 counts
±
0.03%+0.02%[(1+Ka)
#
or(X/Ymax)
#
or(Ymin/X)
#
]
(1+ 1 /
│
Q
│
)(1+Kb+Kc)
Secondary Measurement Readout Error Formula
D(C/D)
2counts
±
0.0003 + 0.0002[(1+Ka)
#
or (X/Ymax)
#
or
(Ymin/X)
#
] (1+
│
D
│
+D
²
)(1+Kb+Kc)
Q(R/Q)
2counts
±
0.0003 + 0.0002[(1+Ka)
#
or (X/Ymax)
#
or
(Ymin/X)
#
] (1+
│
Q
│
+Q
²
)(1+Kb+Kc)
Q(L/Q)
2counts
±
0.0003 + 0.0002[(1+Ka)
#
or (X/Ymax)
#
or
(Ymin/X)
#
] (1+
│
Q
│
+Q
²
)(1+Kb+Kc)
θ
(
Z/
θ
)
θ
e=(180/
π
) x (Ze/100)
R(C/R)
D
≧
1
2 0.02%[(1+Ka)* or (Rx/Rmax)* or
(Rmin/Rx)*] (1+ 1/
│
D
│
)(1+Kb+Kc)+0.03%
D
≦
1
2 0.02%[(1+Ka)** or (Cx/Cmax)** or
(Cmin/Cx)**] (1+ 1/
│
D
│
)(1+Kb+Kc)+0.03%