Revise: Monitoring and measuring a.c.Frequency

a.c. is current which changes direction and instantaneous value with time. Peak or r.m.s. values can be calculated if the other is known. Frequency can be determined from graphical data.

Part ofPhysicsRevision guides: Electricity

Frequency

Frequency is the number of cycles of the waveform in one second. Frequency is calculated as the reciprocal of ('one divided by') the time for one cycle, the period, \(T\).

This relationship is shown by the equation \(f= \frac {1}{T}\)

Frequency is measured in Hertz, Hz.

Period is measured using the 'timebase' (seconds per division) from the oscilloscope controls.

An oscilloscope with the timebase set at 2 milliseconds per division displaying a regular sine wave. The waveform repeats itself every four boxes on the screen. Three full cycles are displayed.

For example, to determine the frequency of the trace shown in the diagram, the signal takes four divisions for one full cycle (an example of one cycle is highlighted in yellow).

The timebase is set to two milliseconds (0.002s) per division.

Periodic time for one cycle = divisions x timebase

\(T=4 \times 0.002\)

\(T= 0.008s\)

Frequency, \(f= \frac {1}{T}\)

So \(f= \frac{1}{{0.008}}\)

\(f= 125 Hz\)

Care needs to be taken to count the number of divisions carefully and use the correct units when determining frequency.

Question

If the frequency of the applied voltage was changed to 250 Hz, describe what would be seen on the oscilloscope screen?