432
Appendix E
Theory on Material Measurement
Magnetic Material Measurement
Structure of 16454A Test Fixture
As shown in Figure E-10, 16454A has a residual impedance
as serial impedance.
Figure E-10
16545A Residual Impedance
Given the ideal impedance
of the 16454A text fixture with no DUT mounted, the
residual impedance
can be calculated from the measured impedance
with no
DUT mounted in the 16454A (in SHORT state).
Equation E-20
16454A Residual Impedance
Errors due to residual impedance can be minimized by SHORT compensation. The
impedance after error compensation
can be calculated from the measured
impedance
with a DUT mounted in the 16454A, as shown in Equation E-21.
Equation E-21
Compensated Impedance
Assuming that
consists only of inductance elements (
), the complex
relative permeability of the DUT can be calculated using Equation E-19 and compensated
impedance,
(=
), as shown in Equation E-22.
Equation E-22
Complex Permeability of DUT
Z
∗
res
Z
∗
ss
Z
∗
res
Z
∗
sm
Z
∗
res
Z
∗
sm
Z
∗
ss
–
=
Z
∗
comp
Z
∗
m
Z
∗
comp
Z
∗
m
Z
∗
res
–
=
Z
∗
ss
Z
∗
ss
j
ω
L
ss
=
Z
∗
comp
Z
∗
μ∗
r
2
π
Z
∗
m
Z
∗
sm
–
(
)
j
ωμ
0
h c
b
---
ln
--------------------------------------- 1
+
=
Summary of Contents for E4991A
Page 6: ......
Page 24: ...18 Contents ...
Page 80: ...74 Chapter3 Setting Measurement Conditions Averaging Measurement Results ...
Page 220: ...214 Chapter9 Setup and Use of Control Management Functions System Recovery ...
Page 338: ...332 AppendixB Probe Station Connection Kit Option 010 OPEN SHORT LOAD Calibration ...
Page 428: ...422 AppendixD Menu References Menu References ...
Page 482: ...476 AppendixI Messages Wait measuring comp standard ...