426
Appendix E
Theory on Material Measurement
Dielectric Material Measurement
Therefore, the complex relative permittivity of a dielectric material (
) and the real (
)
and imaginary (
) components of the complex relative permittivity are calculated as
follows.
Equation E-4
Calculation of Complex Relative Permittivity (
)
Equation E-5
Calculation of Effective Relative Permittivity (
)
Equation E-6
Calculation of Relative Permittivity Loss (
)
NOTE
The electrode area
of the 16453A test fixture is included in the calculation as the area
of the lower electrode.
Error Components of 16453A Test Fixture
Error components of the 16453A test fixture include errors due to edge capacitance on
edge electrodes (stray capacitance), residual parameters of the test fixture such as electrical
length, residual impedance, stray admittance, and an air gap caused when sandwiching the
DUT between the electrodes.
Error Due to Edge Capacitance
Figure E-4 shows lines of electric force when measuring a capacity value of a dielectric
material. As shown in Figure E-4, edge capacitance occurs around electrode edges,
resulting in a larger capacitance value than it really has. The E4991A internally calculates
edge capacitance, thus eliminating the need to consider errors due to edge capacitance
when using the 16453A test fixture.
Figure E-4
Occurrence of Edge Capacitance
ε∗
r
ε
'
r
ε″
r
ε∗
r
ε∗
r
C
p
C
0
------
j G
ω
C
0
----------
–
=
ε
'
r
ε′
r
C
p
C
0
------
tC
p
ε
0
S
--------
=
=
ε″
r
ε″
r
G
ω
C
0
----------
t
ωε
0
SR
p
-------------------
G
1
R
p
------
→
=
=
S
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 ...
