Statistical analysis of the performance of the four boxes
with a constant known input on the end of a cable.
Cable
147.2 pF and 94.4 pF and 16.1 pF and
2.61 Ω
Date
Box
Probe
(pF)
2.49 K
8.07 K
Accuracy calculations
Nulled
07 Oct
2
1
0.4
168.0
128.2
27.3
147.2 163.5 = 16.3 = 11% error
2
0.4
166.2
125.5
26.9
4
1
0.0
162.5
117.6
25.5
94.4 121.6 = 27.2 = 28.8% error
2
0.0
163.0
117.3
25.5
23 Sept
2
1
0.13
169.3
128.8
27.4
16.1 26.1 = 10.0 = 62.1% error
2
0.13
167.2
125.7
26.7
4
1
0.54
162.2
117.6
26.8
Note: The capacitor measurements were
2
0.18
159.9
115.5
24.9
taken with a Data Precision Capacitance
17 Oct
2
1
0.0
166.0
128.5
27.1
meter. This measures time constants to
2
0.1
166.1
125.6
26.9
determine the capacitance. The circuit
4
1
0.5
157.1
115.2
24.2
capacitance should be measured with a
2
0.4
155.0
113.6
24.2
bridge at 15 MHz.
η = 12
η = 12
η = 12
x = 163.5
x = 121.6
x = 26.1
s = 4.44
s = 5.9
s = 1.2
σ = 4.25
σ = 5.65
σ = 1.14
s
=
Not nulled
2.7%
4.8%
4.6%
x
07 Oct
3
1
29.3
212.8
129.8
27.9
2
29.3
209.1
131.5
27.6
147.2 206.3 = 59.1 = 40.1% error
23 Sept
3
1
29.3
205.7
131.3
26.9
2
29.3
205.7
130.4
26.8
94.4 130.7 = 36.3 = 38.6% error
26 Sept
3
1
29.1
203.7
131.0
27.1
2
28.8
202.3
129.1
26.8
16.1 27.1 = 11.0 = 68.3% error
17 Oct
3
1
28.8
209.2
132.1
27.3
2
28.8
202.1
130.0
26.7
η=8
η=8
η=8
x = 206.3
x = 130.7
x = 27.1
s = 3.77
s = 1.01
s = 0.43
σ = 3.52
σ = 0.94
σ = 0.40
s
=
1.8%
0.8%
1.6%
x
28
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