The following formula is used to convert a time domain signal to its phasor representation:
\[ P = M \angle \theta^\circ \]
Where:
\( P \) is the phasor representation (A∠° or V∠°)
\( M \) is the magnitude of the time domain signal (A or V)
\( \theta \) is the phase angle in degrees
A phasor is a complex number used to represent the magnitude and phase of a sinusoidal function in the frequency domain. It simplifies the analysis of linear electrical circuits that operate in steady state. Phasors are used extensively in electrical engineering, especially in the context of alternating current (AC) circuits.
Let's convert a time domain signal with a magnitude of 5 V and a phase angle of 30° to its phasor representation:
Magnitude (M) = 5 V
Phase Angle (θ) = 30°
The phasor representation (P) is:
\[ P = 5 \angle 30^\circ \]