What is the relationship between AC frequency and period?
1 Answer
The relationship between AC (Alternating Current) frequency and period is straightforward and can be defined by a simple mathematical formula. Frequency and period are inversely related to each other.
Frequency (f): AC frequency is the number of cycles (oscillations) that occur per unit of time (usually per second). It is measured in Hertz (Hz). One Hertz is equal to one cycle per second.
Period (T): The period of an AC waveform is the time it takes to complete one full cycle. It is the reciprocal of frequency and is measured in seconds per cycle (s/cycle) or simply seconds (s).
The formula relating frequency and period is:
T = 1 / f
where:
T = Period in seconds (s)
f = Frequency in Hertz (Hz)
To illustrate this relationship with an example, consider the following:
If an AC power supply has a frequency of 50 Hz, the period can be calculated as follows:
T = 1 / 50 Hz
T ≈ 0.02 seconds
Conversely, if the frequency is 60 Hz, the period will be:
T = 1 / 60 Hz
T ≈ 0.0167 seconds
As you can see, as the frequency increases, the period decreases, and vice versa. This relationship holds true for all AC waveforms, whether they are used in electrical power systems, electronics, or any other application involving alternating current.
Frequency (f): AC frequency is the number of cycles (oscillations) that occur per unit of time (usually per second). It is measured in Hertz (Hz). One Hertz is equal to one cycle per second.
Period (T): The period of an AC waveform is the time it takes to complete one full cycle. It is the reciprocal of frequency and is measured in seconds per cycle (s/cycle) or simply seconds (s).
The formula relating frequency and period is:
T = 1 / f
where:
T = Period in seconds (s)
f = Frequency in Hertz (Hz)
To illustrate this relationship with an example, consider the following:
If an AC power supply has a frequency of 50 Hz, the period can be calculated as follows:
T = 1 / 50 Hz
T ≈ 0.02 seconds
Conversely, if the frequency is 60 Hz, the period will be:
T = 1 / 60 Hz
T ≈ 0.0167 seconds
As you can see, as the frequency increases, the period decreases, and vice versa. This relationship holds true for all AC waveforms, whether they are used in electrical power systems, electronics, or any other application involving alternating current.