### Representation of AC Current and Voltage by Rotating Vectors

The analysis of an ac circuit is by using a phasor diagram. A phasor is a vector which rotates the origin with angular speed ω, as shown in the fig given below.

The vertical components of phasors i and v represent the sinusoidally varying quantities v and i. The magnitudes of phasors I and V represent the amplitudes or the peak values i_{m} and v_{m }of these oscillating quantities.

The projection of voltage and current phasors on vertical axis,

i.e., i_{m} sinωt and v_{m} sinωt respectively represent the value of current and voltage at that instant.

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