# How to Represent Waveforms in form of Phasors

Let’ start our article with a Quiz Question. Here we have two AC waveforms and it is desired to convert them to phasor:

a), b), c), or d) what’s the correct option.

From given options b) is the correct answer.

In this article you’ll learn how to represent ac waveform to vectors.

How exactly can we represent AC quantities of voltage or current in the form of a vector? The length of the vector represents the magnitude (or amplitude) of the waveform, like this: (Figure below)

The greater the amplitude of the waveform, the greater the length of its corresponding vector. The angle of the vector, however, represents the phase shift in degrees between the waveform in question and another waveform acting as a “reference” in time. Usually, when the phase of a waveform in a circuit is expressed, it is referenced to the power supply voltage waveform (arbitrarily stated to be “at” 0o). Remember that phase is always a relative measurement between two waveforms rather than an absolute property. (Figure below) (Figure below)