39 | Keysight | E4991B Impedance Analyzer - Data Sheet
Typical Effects of Temperature Change on Permeability
Measurement Accuracy
When the temperature at the test port (7-mm connector) of the high temperature cable
changes more than 5 °C from the calibration temperature, the typical permeability mea-
surement accuracy involving temperature dependence effects (errors) is applied. The
typical permeability accuracy is represented by the sum of error due to temperature coef-
ficient (Tc), hysteresis error (Tc × ΔTmax) and the accuracy at 23 °C ± 5 °C.
Typical accuracy of permeability parameters:
Δµ´
r m
µr´ accuracy
=
:
µ´
r m
± (Eµ + Eh + Ei ) [%]
.
Loss tangent accuracy of µr (= Δtand) :
(Eµ + Eh + Ei )
±
100
where,
Eµ
=
Permeability measurement accuracy
at 23 °C ± 5 °C
Eh
=
=
=
Tc × ΔT × 100
Ei
Tc × ΔTmax × 0.3 × 100
K4 + K5 + K6
Tc [°C-1]
See Figure 57 through Figure 59 for the
calculated value of T
c
without temperature compensation
K4 [°C-1]
=
1 × 10-6 × (60 + 150 × ƒ)
K5 [°C-1]
=
|1 – 0.01 × {F × (µr´ m – 1) + 10} × ƒ2|
1 × 10-2 × (1 + 10 × ƒ) ×
{F × (µ´ –1) + 20} × ƒ
r m
K6 [°C-1]
=
{F × (µ´ – 1) + 20} × ƒ
|1 – 0.01 × {F × (µr´ m –1) + 10} × ƒ2|
r m
2 × 10-6 × (0.3 + 3 × ƒ) ×
with temperature compensation
K4
K5
=
=
1 × 10-6 × (60 + 150 × ƒ)
at 1 MHz ≤ ƒ < 500 MHz
|1 – 0.01 × {F × (µr´ m – 1) +10} × ƒ2|
1 × 10-2 × (1 + 10 × ƒ) ×
{F × (µ´ – 1) + 20} × ƒ
r m
at 500 MHz ≤ ƒ ≤ 1 GHz
|1 – 0.01 × {F × (µr´ m – 1) +10} × ƒ2|
1 × 10-2 × (5 + 2 × ƒ) ×
{F × (µ´ – 1) + 20} × ƒ
r m
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