Average Value and RMS value calculator
RMS value calculator is an electric tool, used to calculate the Peak to Peak value, RMS and Average value, form factor, and peak factor using this calculator.
Formulas used
Amplitude of the waveform
Amplitude of the waveform = Maximum value
For voltage,
![\[\boxed{ V_{pp} = 2 * V_p }\]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-fe17870766e574d77e5770609226bcb0_l3.png "Rendered by QuickLaTeX.com")
For current,
![\[\boxed{ I_{pp} = 2 * I_p }\]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-dda5b43ad8d9bffa726749a63654cf1d_l3.png "Rendered by QuickLaTeX.com")
Average value of voltage is given by,
![\[ \boxed {V_{av}=\frac{2}{\pi} V_m = 0.637 V_m } \]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-b9c4839f8a9cc083d2fa3be175c9a930_l3.png "Rendered by QuickLaTeX.com")
Average value of current is given by,
![\[ \boxed {I_{av}=\frac{2}{\pi} I_m = 0.637 I_m } \]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-429e0c3f57fcd700ab1dc1d7ede09a71_l3.png "Rendered by QuickLaTeX.com")
RMS value of voltage is given by,
![\[\boxed{V_{rms}=\sqrt{\frac{V_m^2}{2} } = 0.707 V_m}\]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-389649fbe47aabd12cfd07fec99258c3_l3.png "Rendered by QuickLaTeX.com")
RMS value of current is given by,
![\[\boxed{I_{rms}=\sqrt{\frac{I_m^2}{2} } = 0.707 I_m}\]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-76aa5aba17567a5425d24105018ca8ce_l3.png "Rendered by QuickLaTeX.com")
Form Factor
![\[ Form factor = \frac{RMS value}{Average value} = \frac{0.707 V_m}{0.637 V_m} = 1.11 \]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-814e507657bd8d83c01b856539044648_l3.png "Rendered by QuickLaTeX.com")
Peak Factor
![\[ Peak factor = \frac{Peak value}{RMS value} = \frac{V_m}{0.637 V_m} = 1.414 \]](https://electrically4u.com/wp-content/ql-cache/quicklatex.com-f30c06cbebc45730de15fe77de71bbb4_l3.png "Rendered by QuickLaTeX.com")
Where,
VP – Peak voltage is the maximum instantaneous value of a waveform measured from the zero-volt level. For the waveform shown below, the peak amplitude and maximum value are the same.
VPP – Peak to peak voltage is the voltage from the positive peak to the negative peak of the waveform. In other words, the sum of the magnitude of the positive and negative peaks.
Vrms – RMS voltage is the effective value or root mean square of a sine wave. It is the equivalent steady DC (constant) value that gives the same effect in AC.
Vavg – Average voltage is the average of all the instantaneous values of an alternating quantity over one complete cycle. That is, the area enclosed by the curve in the positive level is exactly equal to the area enclosed by the curve below this level.
Learn the related topics for clear understanding.
The Generalized AC waveform representing the peak value, average value and RMS value is shown below for your understanding.
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