EE
420L - Lab 2 - Operation of a Compensated Scope Probe
Pre-lab work
- Watch
the video scope_probe and
review scope_probe.pdf.
- Vary
the parameters in the simulations found in probe.zip.
- Understand
RC circuits.
- Understand
Bode plots.
- Read
the entire write-up.
Introduction
We learned about how probes and cables used for measurements
of the circuits we create can affect them. The lab is designed to show
us how to properly adjust compensated oscilloscope probes.
Experiment 1 - Compensations Levels of a Probe
Spice
Simulations
We measured the
capacitance of our probe using a multimeter capable of sub-nanoFarad
accuracy. The points of measurement were from the tip of the probe to
ground (Ctip in series with Ccable) and from the connector middle
conductor to ground (Ccable alone).
Experimental
Data
Above are the measured wave forms
of the same circuit with the same probe, just at different levels of
compensation. The first figure is under-compensation where we can see
that the Ctip is too small and we have a slower curve on the changes
from high and low. The second figure is the same probe, but over
compensated, meaning that Ctip is too small and holds an excess charge
on build ups like switching from low to high, giving a ringing effect.
The last one has been compensated appropriately so we see a nice, crisp
waveform.
Experiment
2 - Empirical Cable Capacitance Measurement
Experimental
Data
From our measurement
in the lab, we found the point in time at which the voltage across the
capacitor was at 64% of the input voltage and assumed that that was
after one time constant (explained more below in hand calculations). We
measured 0.3387V at Vo from a 0.98968V at Vin at a time of 128.3 ns. With this information, we can calculate the capacitance of the cable.
Hand
Calculations
Armed with simple RC circuit
knowledge, we know that it takes exactly one time constant for an RC
circuit to discharge its voltage by 64%. So by devising an experiment
with a pulse generator and a cable (not probe), we can use the
inherent capacitance of the coaxial cable for our C and select a
resistor at our choosing (1k).
Experiment 3 - Cable vs Probe
Experimental
Data
Figure 3.1 - Cable (1x) Measurement
Figure 3.2 - Probe (10x) Measurement
Using
a cable, no compensation, means that we are placing a 120pF capacitor
across the measuring location to ground. Since the impedance of a
capacitor decreasing with higher frequencies (100MEG Hz in this case),
this capacitor will act like a short to ground, bypassing the resistor
in the Oscilloscope required for measurements, indicating an amplitude
of about 0 on screen. The compensated probe has a capacitance in series
with this Ccable, significantly reducing, however not eliminating, this
effect.
Conclusion & Discussion
This was a great experiment for us
to get introduced into the magic of probe compensation, and I feel that
this should have been introduce a little earlier than a 400 level class
but hey, I'm not running the department. As for designing a test point
on a printed circuit board (PCB) to be used with a measuring cable of
known length (known capacitance), we can place a capacitor in series
from the point of desired measurement to reduce the overall capacitance
of the cable (compensation circuitry at the point). To diminish
frequency dependencies, we can place a slight inductance in series as
well. In fact, I have a suspicion that oscilloscopes use a high pass
filter and an inductor to better correct for high frequency
measurements.
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