RMS Voltage Formula
To calculate the RMS voltage from a sinusoidal waveform, the peak value or maximum value of the waveform is divided by the square root of 2. Similarly, the RMS voltage can also be calculated from the peak-to-peak voltage or the average voltage by applying appropriate formulas.
From peak voltage
VRMS = V Peak/√2 = 0.7071VPeak
From peak-to-peak voltage
VRMS = VP-P /2√2 = 0.3536VP-P
From average voltage
VRMS = π/2√2 x V Average = 1.11V Average
Problem
Lets consider a voltage waveform given by V(t) = 10cos(2π25t) volts. Then find the RMS voltage.
Given, Voltage waveform
V(t) = 10cos(2π25t)
Here, 10 is the amplitude of the cosine wave and 25 Hz is the frequency.
By using the formula,
VRMS = VP /√2
In this case, the peak voltage or maximum voltage(VP) is the amplitude of the cosine wave which is 10 volts.
VRMS = 10/√2 ≈ 7.071 volts
Therefore, the RMS voltage for the given waveform is approximately 7.071 volts.
RMS Voltage
Root Mean Square is referred to as RMS. The square root of the average of the squares of the values or the square of the function defining the continuous waveform is the Root Mean Square (RMS) of a collection of values or a continuous-time waveform. In this article, we will be going through what is RMS Voltage, How to calculate RMS Voltages using Graphical and Analytical Methods, Then we will see Different RMS Voltage Formula, At last we will conclude our Article with Applications, Advantages, Disadvantages and Some Applications.
Table of Content
- What is RMS Voltage?
- How to Calculate RMS Voltage
- Formula
- Significance
- Derivation
- Applications
- Advantages and Disadvantages