Agilent Technologies 4294A Service Manual Page 192

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192 13
Application Sample Programs
Measuring Dielectric Material
Step 7. Insert the MUT
Insert the MUT between the 16451B’s electrodes.
Step 8. Cp-D measurement
Measure the equivalent parallel capacitance (Cp) and the dissipation factor (D). When
using the non-contacting electrode method, perform the Cp-D measurement twice in this
step: one with the MUT connected and the other not connected.
Step 9. Calculate permittivity
Using the following expressions and the result of the impedance measurement, calculate
the complex relative permittivity (
= -j ) and the dielectric dissipation factor (Dt)
of the MUT.
Equation 13-1 Expressions to calculate the complex relative permittivity (each term) and the
dielectric dissipation factor when using the contacting electrode method
Equation 13-2 Expressions to calculate the complex relative permittivity (each term) and the
dielectric dissipation factor when using the non-contacting electrode method
Where,
ε0 Permittivity of vacuum (=8.854×10-12) [F/m]
Cp Measured equivalent parallel capacitance value [F] (contacting
electrode method)
Cp1 Measured equivalent parallel capacitance value when no MUT is
inserted [F] (non-contacting electrode method)
Cp2 Measured equivalent parallel capacitance value when an MUT is
inserted [F] (non-contacting electrode method)
D Measured dissipation factor value (contacting electrode method)
D1 Measured dissipation factor value when no MUT is inserted
(non-contacting electrode method)
D2 Measured dissipation factor value when an MUT is inserted
(non-contacting electrode method)
ta Thickness of MUT [m]
tg Distance between the guarded and unguarded electrodes [m]
d Electrode diameter [m]
π Pi (circular constant)
ε
r
·
ε
r
'
ε
r
''
ε
r
'
ε
r
''
D
t
------
=
D
t
D=
ε
r
'
1
11
Cp
1
Cp
2
---------


t
g
t
a
----
×
--------------------------------------------
=
ε
r
'
ε
r
''
D
t
------
=
D
t
D
2
ε
r
D
2
D
1
()×
t
g
t
a
----
1


×+=
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