HP 4262A User Manual

Section III
Figure 3-4
Model 4262A
Measurement
Parameter
Conversions
Parameter
values
for
a
component
measured
in
a
parallel
equivalent
circuit
and
that
measured
in
series
equivalent
circuit
are
different
from
each
other.
For
example,
the
parallel
capacitance
of
a
given
component
is
not
equal
to
the
series
capa-
citance
of
that
component.
Figure
A
shows
the
relationships
between
parallel
and
series
para-
meters
for
various
values
of
D.
Applicable
dia-
grams
and
equations
are
given
in
the
chart.
For
example,
a
parallel
capacitance
(Cp)
of
1000pF
with
a
dissipation
factor
of
0.5,
is
equivalent
to
a
series
capacitance
(Cs)
value
of
1250pF
at
1kHz.
As
shown
in
Figure
A,inductance
or
capa-
citance
values
for
parallel
and
series
equivalents
are
almost
identical
when
the
dissipation
factor
is
less
than
0.01.
The
letter
D
in
Figure
A
re-
presents
dissipation
factor
and
is
calculated
by
the
equations
presented
in
Table
A
for
each
cir-
cuit
mode.
The
dissipation
factor
of
a
com-
ponent
always
has
the
same
dissipation
factor
at
a
given
frequency
for
both
parallel
equivalent
and
series
equivalent
circuits.
Note
Dissipation factors displayed when
CIRCUIT
MODRE
is
switched
between
PRL and SER may exhibit slight dif-
ferences due to the measurement ac-
curacy of the 4262A.
The
reciprocal
of
the
dissipation
factor
(D)
is
quality
factor
(Q)
and
D
is
often
represented
as
tan
§
which
is
the
tangent
of
the
dissipation
angle
().
Figure
3-6
is
a
graphical
presentation
of
the
equations
in
Table
A.
For
example,
a
series
inductance
of
1000uH
which
has
a
dissipa-
tion
factor
of
0.5
at
1kHz
has
a
series
resistance
of
3.14
ohms.
Table A. Dissipation Factor Equations.
Circuit
Mode
Dissipation
Factor
Conversion
to
other
modes
Cp
P
S
-
__
D2
Cp
mode
'u:]:
=
Zrtcprp
C
Q!
Cs=(1+DACp,
Rs
=
5o
'Rp
P
Cs
Rs
1
1
1.
D2
-
=
—
-
—_—
=
+
.
Cs
mode
-
HW—
D
=
27{CsRs
{=
Q
)
Cp=
1+
D2
Cs,
Rp
=
v
Rs
Lp
)
o
2xflp
1
_—1
_
.
Lp
mode
'm;
D=
=g~
=g
Ls=7,p2
Lp,
RS‘_Q—ZMD
Rp
Ls
Rs
Rs
1
4
2
2
.
o
L
=
2
=
22D,
Ls
mode
T
W
Tefls
C
Q)
Lp=(1+D2)Ls,
Rp
~
{5~
'Rs
*f: Test signal frequency.
jon+
TG
o
A7
W
/)’éy
7
A
/
R
4
V0D
»
;/
/
g
/|
%
/
v
%
/
,°n+|
7
/
7
%
///,/
//
s
I
e
4
s
L/
/|
/
cp
(P
Ls
(H)
L1l
0"
|°n+l
1on*+2
Where n stands for a free integer.
FigureA.
Relationships
between
Parallel
and
Series
Parameters.
Figure
3-5.
Conversion
Between
Parallel
and
Series
Equivalents.
3-12

HP 4262A Specifications

General

Brand	HP
Model	4262A
Category	Measuring Instruments
Language	English