Enter the magnitude, frequency, and phase angle of a sinusoidal time domain signal into the calculator to determine its phasor representation in polar form.
Time Domain To Phasor Formula
The following formula is used to convert a time domain signal to its phasor representation:
P = M∠θ°
Variables:
- P is the phasor representation (A∠° or V∠°)
- M is the magnitude of the time domain signal (A or V)
- θ is the phase angle in degrees
To convert a time domain signal to its phasor representation, use the magnitude and phase angle to create a polar form representation of the signal. The frequency is not used in the conversion to phasor form but is important for understanding the signal’s behavior over time.
What is a Phasor?
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.
How to Calculate a Phasor from Time Domain?
The following steps outline how to convert a time domain signal to its phasor representation:
- First, determine the magnitude (M) of the time domain signal.
- Next, determine the phase angle (θ) in degrees.
- Use the formula P = M∠θ° to find the phasor representation.
- Finally, enter the magnitude and phase angle into the calculator to get the phasor.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Magnitude (M) = 5 A
Frequency (f) = 60 Hz (not used in phasor calculation)
Phase Angle (θ) = 30 degrees
