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Question
Fri February 25, 2011

# what are phasors?can u pls explain what is phasor diagram

Fri February 25, 2011
Dear student
Phasors are actually rotating vectors that are used to represent an alternating current or some other sinusoidally varying quantity.
Phasor is defined as the A representation of sine wave with amplitude A, frequency $\displaystyle\omega$ and phase $\displaystyle\theta$ are said to be time-invariant. This conceot with analytic representation is called as Phasor vector or phasor. It depends on three parameters  for simplifying and explaining some calculation. Phasor consists of one wave and two wave. Phasor wave depends on the sine wave. A linear differential equations can be deducted using algebra.

## Explained the Diagram of Phasor

A rotating AC voltage current shows the relationship of electrical signal. A phasor quantity represented by the rotating arrow onto the vertical axis. The vertical line or bar represents the value proportional to the sine of the product of the angular frequency for instantaneous value. A signal of the oscilloscope represent ted in the phasor diagram is running sinusoid wave.

## Phasor Diagrams Explained in One Wave

In a phasor diagram explained in one wave, a power source can be supplied to the voltage either in a sine wave of a particular frequency and it can be considered to be the sum of sine waves of different frequencies. It can be directly related to vector length. An angular velocity $\displaystyle\omega$ with revolving vector length A. At angle t = 0, a phase constant is $\displaystyle\delta$ .

V(t) = Asin( $\displaystyle\omega$t + $\displaystyle\delta$

## Phasor Diagrams Explained in Two Waves

One wave can be leading or lagging the other wave, in which the revolving vector of blue is leading the red revolving vector. Likewise, the red vector is lagging the blue vector.

By using algebraic and trigonometric manipulation, adding and subtracting two sine waves.

A Simple Problem of vector Addition:

A sin( $\displaystyle\omega$t + Ï )  = 6 sin($\displaystyle\omega$t + 400) + 3 sin ( $\displaystyle\omega$t + 1200)