# Difference between revisions of "RMS amplitude"

The RMS value of a set of values is the square root of the arithmetic mean of the squares of the values, or the square of the function that defines the continuous-time waveform. [3] It’s also known as the quadratic mean of amplitude and is a particular case of the generalized mean with exponent 2. In a set of n values {x_1,x_2,…,x_n}, the RMS is ${\displaystyle x_{RMS}={\sqrt {{\tfrac {1}{n}}\sum _{i=1}^{n}x_{i}^{2}}}}$ The RMS of the corresponding formula for a continuous waveform f(t) defined over the interval [T1, T2] is ${\displaystyle f_{RMS}={\sqrt {{\tfrac {1}{T_{2}-T_{1}\int _{T_{1}}^{T_{2}}[f(t)]^{2}}}dt}}}$