Cathode-ray oscilloscope
- A cathode-ray oscilloscope is a laboratory instrument used to display, measure and analyse waveforms of electrical circuits
- An a.c. current on an oscilloscope is represented as a transverse wave
- The oscilloscope can be used to determine its frequency and amplitude
- A d.c voltage on an oscilloscope is represented as a horizontal line at the relevant voltage
- The x-axis is the time and the y-axis is the voltage (or y-gain)
Cathode-ray oscilloscope display
Diagram of cathode-ray oscilloscope display showing wavelength and time-base setting
- The period of the wave can be determined from the time-base
- Time-base is how many seconds each division represents measured commonly in s div-1 or s cm-1
- Count the number of wavelengths shown on the screen
- Divide the total time by the number of wavelengths to obtain the time period T
- Calculate the frequency of the wave using
Worked example
A cathode-ray oscilloscope (c.r.o.) is used to display the trace from a sound wave. The time-base is set at 7 µs mm-1.What is the frequency of the sound wave?
A 2.4 Hz B 24 Hz C 2.4 kHz D 24 kHz
Answer: C
Step 1: Determine the period of the wave:
- One full wave covers three horizontal squares, which is a distance of 6 cm
- There are 60 mm in 6 cm
- Each mm represents a time of 7 μs
- Time period, T = 60 × (7 × 10−6) = 4.2 × 10−4 s
Step 2: Use the frequency equation to determine frequency:
- Recall the frequency equation
- Recall that 1000 Hz = 1 kHz and the answer must be given to 2 significant figures
Examiner Tip
The time-base setting varies with units for seconds (commonly ms) and the unit length (commonly mm). Unit conversions are very important for the calculation of the time period and frequency