# Form Factor

**Definition:** The ratio of the root mean square value to the average value of an alternating quantity (current or voltage) is called **Form Factor.**

The average of all the instantaneous values of current and voltage over one complete cycle is known as the average value of the alternating quantities.

Mathematically, the it is expressed as

I_{r.m.s} and E_{r.m.s} are the root mean square value of the current and the voltage respectively, and I_{av }and E_{av }are the average value of the alternating current and the voltage respectively.

For the current varying sinusoidally, the Form Factor is given as

The value of Form Factor is 1.11

There is a relation between the peak value, the average value, and the root mean square (R.M.S) value of an alternating quantity. Therefore, to express the relationship between all these three quantities, the two factors are used, namely as Peak Factor and Form Factor.

The Form Factor for the various sinusoidal waveforms are as follows

- For sine wave, it is π/2√2 = 1.11072073
- For half wave rectified sine wave it is π/2 = 1.5707963
- For full wave rectified sine wave it is π/2√2 = 1.11072073
- For square wave, it is equal to 1
- For triangle waveform, it is 2/√3 = 1.15470054
- For sawtooth waveform, it is 2/√3 = 1.15470054