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This is the value voltage or current of a wave at any particular instant. The instantaneous value of a sine wave one quarter of the way through the cycle will be equal to the peak value. See point X in Fig 1. As a sine wave is symmetrical about its centre line, the amplitude of the wave is half the peak to peak value, as shown in Fig 1.
The PEAK value of the wave is the highest value the wave reaches above a reference value. The reference value normally used is zero. If the sine wave being measured is symmetrical either side of zero volts or zero amperes , meaning that the dc level or dc component of the wave is zero volts, then the peak value must be the same as the amplitude, that is half of the peak to peak value.
However this is not always the case, if a dc component other than zero volts is also present, the sine wave will be symmetrical about this level rather than zero. The bottom waveform in Fig 1. A frequency of 50 Hz.
Note that when you use this formula, if the periodic time is in seconds then the frequency will be in Hz. This is normally taken to mean the average value of only half a cycle of the wave.
If the average of the full cycle was taken it would of course be zero, as in a sine wave symmetrical about zero, there are equal excursions above and below the zero line. Peak voltage and peak-to-peak voltage are apparent by looking at the above plot. Root-mean-square and average voltage are not so apparent. As the name implies, V rms is calculated by taking the square root of the mean average of the square of the voltage in an appropriately chosen interval.
In the case of symmetrical waveforms like the sinewave, a quarter cycle faithfully represents all four quarter cycles of the waveform.
V rms is the value indicated by the vast majority of AC voltmeters.
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