Operating Instructions—5110
High
Resolution
Phase Measurement
More accurate dual-trace
phase measurements can be
made by increasing the sweep rate (without changing the
variable
Seconds/Div control setting). One of the easiest
ways
to
increase the sweep
rate is with theSwp Mag (10X)
button
on the time-base unit.
EXAMPLE: If the
sweep rate were increased
10 times
with
the
magnifier, the magnifier sweep
rate should
be
45°
/division 10
= 4.5°/division. Figure 1-9 shows the
same signals
as used in Figure 1 -8,
but with the Swp Mag
button
pushed in. With a horizontal difference of six
divisions
the phase
difference is:
2.
Set
each
amplifier
unit
input coupling switch to de,
and set
the
position controls of the selected X and Y
channels for
a spot display at
graticule center.
3.
Connect
low-frequency sine-wave signals
of the
same
frequency to the selected X
and
Y inputs.
4. Advance the INTENSITY control until the display is
at
the
desired viewing level. Set the amplifier deflection
factors
and
variable Volts/Div controls for six divisions of
vertical
and horizontal deflection, and set the position
controls
to center
the display on the graticule as shown in
Fig.
1-10.
Phase
Difference
horizontal
= difference
(divisions)
X
magnified
sweep rate
(degrees/
= (6) (4.5D)=27°
division)
5.
Measure
and
record the overall vertical deflection
(A) and the opening of the Lissajous display (B),
measur
ing
vertically at the
graticule horizontal center line (see
Fig. 1-10).
The
phase
difference is 27°.
Channel 1, or left
Channel 2, or
plug-in
(reference)
center
plug-in
6.
Divide B
by
A to
obtain the trigonometric sine of
the
phase angle
difference between
the two signals. Obtain
the phase angle from
a trigonometric table
to determine
the phase angle between
the X and Y signals. If the display
appears
as
a diagonal straight line,
the two signals are
either in phase
(tilted upper right to lower
left), or 180° out
of phase (tilted
upper left to lower right). If the display Isa
circle,
the signals are 90° out of
phase. Fig. 1-11
shows
the
Lissajous displays produced between
0°
and 360°. Notice
that above 180°
phase shift,
the
resultant display
is the
same
as at some lower angle.
EXAMPLE: Assume
a
display as shown in Fig. 1-10
where
A
is
6 divisions and B is 0.4 division.
ng.
1-9.
High-resolution phase difference measurement with
Increased sweep rate.
X-Y
Phase Measurements
The
X-Y
phase measurement
method can
also be
used
to
measure the phase difference between two signals of
the
same frequency. The phase angle is determined from
the
Lissajous pattern as outlined in
the following steps:
1.
Insert
an
amplifier plug-in unit into one of the
vertical
plug-in compartments
and an amplifier of the
same type into the horizontal
plug-in compartment.
Fig. 1-10. Phase difference measurement
from an X-Y
display.
1-14
Summary of Contents for 5110
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