3

Exploring the timing of the mystery circuit

  • Connect a BNC coaxial cable from scope Ch1 to a workstation BNC jack, then use a jumper to connect the jack to pin 6 of IC2.
  • Press the Autoset button. A yellow trace should appear.
  • Rotate the TIME/DIV knob until the time/div display reads '100ms ROLL'.
  • Set the CH1 VOLTS/DIV to 1V, then rotate the CH1 up/down position knob to display a square wave moving across the screen. What does this waveform represent?
  • Replace C with a 0.1μF capacitor, then press Autoset. What is the time/div now?
  • The LED appears always on. Why might this be so?
  • How does the choice of capacitor (i.e. capacitance) affect the timing mystery circuit?
4

You can now use the oscilloscope to explore the mystery circuit. Save screenshots of each test then make a sketch showing how the various waveforms are related in time.

  • Connect CH1 to the R5-C node to view variations in the capacitor voltage Vc. What do you observe?
Connect a second BNC cable from the scope Ch2 to a workstation BNC jack, then use a jumper to connect the jack to some other circuit waveforms. If you press the Autoset button, two waveform should appear, one above the other.
  • How are the waveforms at pin 1 and 7 of IC1 related to Vc?
  • How are the waveforms at pin 5 and 6 of IC2 related to Vc?
  • What does pin 5 of IC2 control? and pin 6 of IC2?
You can also measure the voltage at pins 3 and 6 of IC1, Do these voltages change over time?
5

You can now proceed to measure TL, TH and T as you vary R4, R5 or C and populate a table with the results. You can then determine the scaling constants k1 and k2.

Use the multimeter to re-measure the resistors more precisely. Use the Component Tester to measure the capacitors and assume a 1% measurement error.

  • With Ch1 connected to the R5-C node, reconnect Ch2 to IC2 pin 6, then press the Autoset button to view the two waveforms, as shown.

We note that the observed pulse waveform seem to repeat with a period T that consists of a low level time TL and a high level time TH, so that T=TL+TH.

6
The accompanying picture from the GDS-1102A applet displays waveforms with TH properly scaled to minimize the measurement error. To decrease the measurement error for TL, the horizontal gain should be increased to 50ms/DIV if TL still fits within the screen frame (as shown in the next slide).

Note that since the transitions of the two waveforms seem to occur at the same time, you can place the cursors more accurately using the square wave as reference.

For each measurement of TL, or TH as shown, check that the cursors and the cursor data are displayed and that the correct values of R4, R5, C are entered in the variables frame.

Save the data set (click 'File', 'Save data') and a screenshot of every trial. From a Linux workstation, save distinctly labelled files in:
/work/2P30/2023-2024/yourBrockID/Lab#.

6
Tabulate R4, R5, C, TL, TH. , their imeasurement errors ΔTL, ΔTH. and a calculated value of the period T using the following component combinations:
  • set R4=R5=22kΩ, change C to 0.1μF and 0.33μF.
  • set C=0.1μF, R4=22kΩ, change R5 to 10kΩ and 4.7kΩ.
  • set C=0.1μF, R5=22kΩ, change R4 to 10kΩ and 4.7kΩ.
Look for some patterns in your data set. How do TL, TH vary with a change in one of the R4, R5 and C values?
  • Use two of your C=0.1μF trials to determine the unknowns k1 and k2 and obtain a functional relationship between the period T and the components R4, R5 and C.
  • Repeat using the other two C=0.1μF trials. How do the two results for k1 and k2 compare?
If familiar with eXtrema, try fitting the whole data set; this will provide you with an error estimate for k1 and k2.