Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.

When the derivative of a sinusoid is taken in the time domain...

Consider a sinusoid and its corresponding phasor.

The derivative of the sinusoid in the time domain equals its phasor multiplied by j-omega in the phasor domain.

Similarly, when integrating a sinusoid in the time domain, it transforms into its phasor divided by j-omega in the phasor domain.

These transformations yield the si...