The Operation of an Oscilloscope (AQA A Level Physics): Revision Note

Exam code: 7408

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Oscilloscope as a DC & AC voltmeter

  • A Cathode-Ray Oscilloscope (CRO) is a laboratory instrument used to display, measure and analyse waveforms of electrical circuits

    • It can therefore be used as an a.c and d.c voltmeter

  • An a.c voltage on an oscilloscope is represented as a transverse wave

    • Therefore, its frequency, time period and peak voltage can be determined

  • 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)

A sinusoidal waveform across a grid on an oscilloscope, showing two complete wavelengths and a half-wavelength marked by arrows. Dashed vertical lines indicate intervals, and the time base is 5 milliseconds per division.
The time period of a wave is found from the number of divisions it spans and the time-base setting
  • The period of the wave can be determined from the time-base

    • This is how many seconds each division represents measured commonly in s div-1 or s cm-1

  • The frequency is then determined through:

f = 1T

  • Where:

    • T = time period (s)

  • Dividing the total time by the number of wavelengths will give a value for T

    • Use as many wavelengths shown on the screen as possible to reduce uncertainties

CRO controls for an a.c waveform

  • Time-base

    • When the time-base is switched off, only a vertical line on the voltage-gain axis is seen with its relevant amplitude

    • When the time-base is switched on, a wave will appear across the whole screen and the time period can be measured

    • This control has units of time cm-1 or time div-1 and has a range of 100 ms – 1 μs per cm, or division

  • Voltage-gain (sensitivity)

    • This controls the vertical deflection, or amplitude, of the wave

    • The peak voltage (V0) is the maximum vertical displacement measured from the time axis

    • The peak-to-peak voltage is the vertical displacement between the minimum and maximum values of voltage

    • When the voltage-gain is switched off, only a horizontal line on the time axis will be seen

    • This control has units of volts cm-1 or volts div-1

  • For a d.c waveform, only a horizontal line is displayed at the relevant voltage

    • The time-base settings are irrelevant since there is no time period

    • The voltage-gain setting is relevant since this is used to read the value of the d.c voltage

A sinusoidal alternating voltage signal on an oscilloscope, crossing the 0 V line. Voltage is vertical and time horizontal. y-gain is 2 V per division and time base is 1 ms per division, with each square 2 V high and 1 ms wide.
A sinusoidal alternating voltage with the time base turned off. A vertical trace on the voltage axis, with each grid square representing 2 volts. Y-gain is 2 volts per division and time is horizontal.
Graph of a direct-current supply showing a constant horizontal voltage trace two divisions above zero. Voltage is plotted against time. Oscilloscope settings are y-gain equals 2 volts per division and time base equals 1 millisecond per division.
Examples of an alternating and direct voltage on a CRO with and without the time base

Worked Example

A cathode-ray oscilloscope (CRO) is used to display the trace from a sound wave. The time-base is set at 7 µs mm-1.

Sinusoidal sound-wave trace on a grid. Each horizontal square represents 2 cm and each vertical square represents 1 cm. Adjacent crests are three horizontal squares apart.

What is the frequency of the sound wave?

A.    2.4 Hz         

B.     24 Hz         

C.     2.4 kHz         

D.     24 kHz

Worked solution: answer C. One wavelength is 6 centimetres (60 millimetres). At 7 microseconds per millimetre, the period is 4.2 × 10⁻⁴ seconds, so f = 1/T = 2380.95 hertz = 2.4 kilohertz.

Examiner Tips and Tricks

The time-base setting varies with units for seconds (commonly ms) and the unit length (commonly mm). Unit conversions are very important when calculating the time period and frequency.

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Ashika

Author: Ashika

Expertise: Physics Content Creator

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.