phasorábrázolással

Phasorábrázolás, a Hungarian term, translates to phasor representation or phasor diagram in English. It is a graphical method used in electrical engineering to represent sinusoidal alternating quantities such as voltage and current. A phasor is a rotating vector whose length represents the amplitude (maximum value) of the sinusoidal quantity and whose angle represents its phase.

In a phasor diagram, multiple phasors originating from a common point illustrate the relationship between different sinusoidal quantities in an electrical circuit. The angle between two phasors indicates the phase difference between their corresponding sinusoidal waveforms. For example, if a voltage and a current are represented by phasors, the angle between them shows whether the current leads or lags the voltage, and by how much.

This representation simplifies the analysis of AC circuits, particularly when dealing with combinations of resistors, inductors, and capacitors. Instead of performing complex mathematical operations with time-varying sinusoidal functions, engineers can use vector algebra with phasors, which is considerably easier. Calculations involving addition, subtraction, and multiplication (in some contexts) of sinusoidal quantities can be performed by manipulating these vectors.

Phasor diagrams are crucial for understanding concepts like impedance, power factor, and resonance in AC circuits. They provide an intuitive visual tool that helps engineers quickly grasp the dynamic behavior of electrical systems operating with alternating current. The length of a phasor corresponds to the peak value or the RMS value of the sinusoidal quantity, and the angle is measured relative to a reference axis, often taken as the positive real axis in the complex plane.