GW Instek LCR-800 Series - Manual (Page 66)

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│+D²)(1+Kb+Kc)
Q(R/Q) 2counts±0.0003 + 0.0002[(1+Ka) # or (X/Ymax) # or
(Ymin/X) # ] (1+│Q│+Q²)(1+Kb+Kc)
Q(L/Q) 2counts±0.0003 + 0.0002[(1+Ka) # or (X/Ymax) # or
(Ymin/X) # ] (1+│Q│+Q²)(1+Kb+Kc)
θ( Z/θ) θe=(180/π) x (Ze/100)
R(C/R) D≧1 2counts + 0.02%[(1+Ka)* or (Rx/Rmax)* or
(Rmin/Rx)*] (1+ 1/│D│)(1+Kb+Kc)+0.03%
D≦1 2counts + 0.02%[(1+Ka)** or (Cx/Cmax)** or
(Cmin/Cx)**] (1+ 1/│D│)(1+Kb+Kc)+0.03%