Accuracy Equations For Specific Measurement Modes; R + Q Accuracy; L+Q Accuracy; C+D Accuracy - Protek 9216A User Manual

Accuracy Equations for Specific Measurement Modes

R + Q Accuracy

In the R + Q measurement mode, the basic impedance accuracy A in the equation for
impedance accuracy may be read from Figure 2-1 directly while interpreting the ―imped-
ance‖ as ―resistance.‖ The resistance accuracy is calculated from equation (1) above,
with the additional stipulation that if the measured Q has an absolute value greater than
0.1, then the basic resistance accuracy factor should be multiplied by the factor (1 + |Q|).
Let the basic resistance accuracy factor be denoted A
urement of Q is given by
Note that the accuracy of Q is specified as a magnitude, not as a percentage.

L+Q Accuracy

The basic impedance accuracy depicted in Figure 2-1 applies to inductance measure-
ments when the impedance is interpreted to be 2 f L, where f is the test frequency in Hz
and L is the inductance in Henrys. For convenience, Figure 2-1 is redrawn in Figure 2-2
with lines of constant inductance superimposed. Also, Table 2-3 is recreated for inductive
impedances as Table 2-4. Note from Table 2-4 that the range error factor K
for inductances above 15.9/f H and K
The accuracy of the inductance measurement is calculated from equation (1) above,
with the additional stipulation that if the measured Q has an absolute value less than 10,
then the basic inductance accuracy factor should be multiplied by the factor (1 + |1/Q|).
Let the basic inductance accuracy factor be denoted A
culation is given by equation (2) with A

C+D Accuracy

The basic impedance accuracy depicted in Figure 2-1 applies to capacitance measure-
ments when the impedance is interpreted to be 1/2 f C, where f is the test frequency in
Hz and C is the capacitance in Farads. For convenience, Figure 2-1 is redrawn in Figure
2-3 with lines of constant capacitance superimposed. Also, Table 2-3 is recreated for ca-
pacitive impedances as Table 2-5. Note from Table 2-5 that the range error factor K
negligible for capacitances below 1590/f F and K
159/f F.
Table 2-3 Extreme Range Error Terms, K
Frequency
100 Hz, 120 Hz, 1 kHz
10 kHz
100 kHz
Accuracy of Q [(A
and K
h
K K
l
(1 m/Z ) (Z /2 G)
m m
(1 m/Z ) (Z /1.5 G)
m m
(4 m/Z ) (Z /50 M)
m m
. Then the accuracy of the meas-
r
/100)  (1+Q
2
)]
r
is negligible for inductances below 159/f H.
h
. Then the accuracy of the Q cal-
l
substituted for A .
l r
is negligible for capacitances above
h
10
l
h
is negligible
l
(2)
is
l