Appendix E
431
Theory on Material Measurement
Magnetic Material Measurement
E. Theo
ry on
Ma
teria
l
Me
asur
eme
n
t
in Equation E-15 indicates self-inductance when a DUT is not mounted in the test
fixture.
Equation E-15
Self-Inductance When DUT Is Not Mounted in Test Fixture
Figure E-9
Loss of Magnetic Material
The impedance
of the circuit (i) in Figure E-9 is expressed as Equation E-16, and the
complex impedance
of the circuit (ii) is expressed as Equation E-17.
Equation E-16
Impedance of Circuit (i)
Equation E-17
Complex Impedance of Circuit (ii)
As alternating current causes inductance loss, the self-inductance
of the measurement
circuit is expressed as complex impedance, as shown in Equation E-18.
Equation E-18
Self-Inductance of Measurement Circuit Expressed as Complex Impedance
Substituting “L” in Equation E-18 into Equation E-14 yields Equation E-19.
Equation E-19
Complex Relative Permeability of DUT
L
ss
L
ss
μ
0
2
π
------
h
0
e
a
---
ln
=
Z
Z
∗
Z
j
ω
L
=
Z
∗
R
s
j
ω
L
s
+
j
ω
R
s
j
ω
------
L
s
+
=
=
L
L
Z
∗
j
ω
------
=
μ∗
r
2
π
Z
∗
j
ω
L
ss
–
(
)
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 ...