RMS Voltage Calculator

The “RMS Voltage Calculator” is a simple web-based tool designed to calculate the Root Mean Square (RMS) voltage. RMS voltage is a measure of the average voltage of an alternating current (AC) waveform, taking into account both the amplitude and the time duration of the waveform.

Also Read: Peak Voltage Calculator

Voltage Conversion

Voltage Conversion









How to Calculate RMS Voltage

To calculate the RMS (Root Mean Square) voltage, follow these steps:

  1. Square each individual voltage value.
  2. Find the average (mean) of the squared voltage values.
  3. Take the square root of the average value.

Mathematically, the formula for calculating RMS voltage is:

RMS Voltage = sqrt((V1^2 + V2^2 + V3^2 + … + Vn^2) / n)

Where:

  • V1, V2, V3, …, Vn are the individual voltage values.
  • n is the total number of voltage values.

Here’s a step-by-step example to illustrate the calculation:

Example: Given the voltage values: 5, 10, 15

  1. Square each voltage value:
    • V1^2 = 5^2 = 25
    • V2^2 = 10^2 = 100
    • V3^2 = 15^2 = 225
  2. Find the average of the squared voltage values:
    • Average = (25 + 100 + 225) / 3 = 350 / 3 = 116.67
  3. Take the square root of the average:
    • RMS Voltage = sqrt(116.67) = 10.81 (rounded to two decimal places)

Therefore, the RMS voltage of the given values is approximately 10.81.

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