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Measurement basics R&S ® LCX Series 51 User Manual 1 179.2260.02 ─ 08 T able 5-2: Resistance measurement parameters Parameter Designation and unit Rs-X serial resistance ( Ω ) - reactance ( Ω ) Rp-B parallel resistan…

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Measurement basics
R&S
®
LCX Series
50User Manual 1179.2260.02 ─ 08
R (Ω) Resistance
X
s
(Ω) Reactance
Y (S) Admittance
|Y| (S) Magnitude of Y
G
p
(S) Equivalent parallel conductance measured with par-
allel-equivalent circuit model
B
p
(S) Susceptance
Imaginary part of Y
Q Quality factor (inverse of D)
D or tanδ Dissipation factor
Θ
r
(rad) Phase angle of impedance/admittance (radian)
Θ
d
(°) Phase angle of impedance/admittance (degree)
φ (rad, °) Phase angle of Y
C
s
(F) Capacitance value measured with series-equivalent
circuit model
C
p
(F) Capacitance value measured with parallel-equiva-
lent circuit model
L
s
(H) Inductance value measured with series-equivalent
circuit model
L
p
(H) Inductance value measured with parallel-equivalent
circuit model
R
s
or ESR (Ω) Equivalent series resistance measured with series-
equivalent circuit model
R
p
(Ω) Equivalent parallel resistance measured with paral-
lel-equivalent circuit model
R
DC
(Ω) Direct current resistance
V
DC
(V) Direct current voltage
I
DC
(A) Direct current electricity
q
d
(°) Phase angle of impedance/admittance (degree)
q
r
(rad) Phase angle of impedance/admittance (radian)
5.2 Impedance measurement parameters of the R&S LCX
In addition to the characterization of the resistance, inductance and capacity of passive
components, the R&S LCX determines parameters like the quality factor (Q), the dissi-
pation factor (D), the phase angle (Θ), and the complex values of the impedance (Z)
and the admittance (Y).
The following tables show the parameter pairs that you can select for display.
Impedance measurement parameters of the R&S
LCX
Measurement basics
R&S
®
LCX Series
51User Manual 1179.2260.02 ─ 08
Table 5-2: Resistance measurement parameters
Parameter Designation and unit
Rs-X serial resistance (Ω) - reactance (Ω)
Rp-B parallel resistance (Ω) - susceptance (Ω)
Rdc DC current resistance (Ω) - reactance (Ω)
G-B conductance (S) - susceptance (Ω)
Z-Θr impedance (Ω) - phase angle (rad)
Z-Θd impedance (Ω) - phase angle (°)
Y-Θr admittance (S) - phase angle (rad)
Y-Θd admittance (S) - phase angle (°)
Table 5-3: Capacitor measurement parameters
Parameter Designation and unit
Cs-Q serial capacitance (F) - quality factor
Cs-D serial capacitance (F) - dissipation factor
Cs-Rs serial capacitance (F) - serial resistance (Ω)
Cp-Q parallel capacitance (F) - quality factor
Cp-D parallel capacitance (F) - dissipation factor
Cp-Rp parallel capacitance (F) - parallel resistance (Ω)
Cp-G parallel capacitance (F) - conductance (S)
G-B conductance (S) - susceptance (Ω)
Z-Θr impedance (Ω) - phase angle (rad)
Z-Θd impedance (Ω) - phase angle (°)
Y-Θr admittance (S) - phase angle (rad)
Y-Θd admittance (S) - phase angle (°)
Table 5-4: Inductor measurement parameters
Parameter Designation and unit
Ls-Q serial inductance (H) - quality factor
Ls-D serial inductance (H) - dissipation factor
Ls-Rs serial inductance (H) - serial resistance (Ω)
Lp-Q parallel inductance (H) - quality factor
Lp-D parallel inductance (H) - dissipation factor
Lp-Rp parallel inductance (H) - resistance (Ω)
Lp-G parallel inductance (H) - conductance
Rs-X serial resistance (Ω) - reactance (Ω)
Impedance measurement parameters of the R&S LCX
Measurement basics
R&S
®
LCX Series
52User Manual 1179.2260.02 ─ 08
Parameter Designation and unit
G-B conductance (S) - susceptance (Ω)
Z-Θr impedance (Ω) - phase angle (rad)
Z-Θd impedance (Ω) - phase angle (°)
Y-Θr admittance (S) - phase angle (rad)
Y-Θd admittance (S) - phase angle (°)
Table 5-5: Transformer measurement parameters
Parameter Designation and unit
M-ΘNd mutual inductance (H) - phase angle (°)
N-ΘNd transformer ratio / turns ratio - phase angle (°) (phase difference
between primary and secondary winding)
Rs-X serial resistance (Ω) - reactance (Ω)
G-B conductance (S) - susceptance (Ω)
Z-Θr impedance (Ω) - phase angle (rad)
Z-Θd impedance (Ω) - phase angle (°)
Y-Θr admittance (S) - phase angle (rad)
Y-Θd admittance (S) - phase angle (°)
5.3 Considerations on measurement accuracy
To know the measurement accuracy of a, e.g. capacitance measurement, the accuracy
and characteristics of the instrument are essential.
An R&S LCX LCR meter measures the impedance (Z) and phase (Θ), and derives the
results of the also provided measurement parameters. The accuracy of a determined
parameter therefore refers to the accuracy of these measured parameters.
During a measurement, the R&S LCX displays the accuracy of (Z) and (Θ) at the cur-
rent working point in the Test signal monitor on the screen.
If you need to know the accuracy outside a running measurement or for a secondary
measurement parameter, you can calculate the accuracy individually.
How to:
see the application note "LCX accuracy calculations" on the product page
www.rohde-schwarz.com/application/lcx.
The application note guides you how to proceed in general, and how to determine
the value for specific sample components.
see the specifications document on the product page www.rohde-schwarz.com/
brochure-datasheet/lcx). The specifications document provides the formulas and
the instrument-specific calculation factors.
Considerations on measurement accuracy