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Phasor Representation of Sinusoidal Quantities

by Learn Electrical in Electrical Circuits asked Aug 7, 2023 237 views

Phasor Representation of Sinusoidal Quantities

1 Answer

by Learn Electrical answered Aug 7, 2023

Phasor Representation of Sinusoidal Quantities

The phasor representation is a technique used to analyze and simplify sinusoidal quantities, such as voltages and currents in electrical circuits. It is particularly useful in the context of alternating current (AC) circuits and signal analysis. Phasor representation helps convert sinusoidal time-domain quantities into a more manageable complex number representation that incorporates both magnitude and phase information.

Here's how it works:

Complex Numbers: In the phasor representation, sinusoidal quantities are represented as complex numbers. A complex number has a real part and an imaginary part. The real part represents the magnitude of the quantity, and the imaginary part represents the phase of the quantity.

Frequency and Angular Frequency: In sinusoidal quantities, we often deal with the frequency (f), which is the number of cycles per second (measured in Hertz, Hz). However, in the phasor representation, it's common to work with the angular frequency (ω) instead. Angular frequency is related to frequency by the formula ω = 2πf.

Phasor Diagram: A phasor diagram is a graphical representation used to visualize phasor quantities. It consists of arrows (phasors) rotating counterclockwise in a circular manner. The length of the arrow represents the magnitude of the quantity, and the angle between the arrow and the reference axis represents the phase angle of the quantity.

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