dE_logics said:When converting an AC waveform (from polar) to a rectangular form, a source quotes v(t) as x + jy.
But how is this possible?...I mean v(t) is clearly the x-axis length of r (vm).
Further more how does complex number come into the picture?...every thing is real.
The purpose of converting AC waveform from polar to rectangular with phaser is to simplify complex calculations and analysis of AC circuits. By using phasors, which are graphical representations of the magnitude and phase of an AC waveform, we can easily manipulate the waveform and perform calculations using basic trigonometry.
In polar form, an AC waveform is represented by its amplitude and phase angle. In rectangular form, it is represented by its real and imaginary components. Polar form is useful for representing the magnitude and direction of an AC signal, while rectangular form is useful for mathematical calculations.
To convert an AC waveform from polar to rectangular form using phaser, we use the following formula:
Real component = Amplitude * cos(phase angle)
Imaginary component = Amplitude * sin(phase angle)
The real and imaginary components can then be combined to form the rectangular form of the waveform.
Some advantages of using phasors to convert AC waveforms include simplification of calculations, easy representation of complex numbers, and the ability to analyze circuits in the frequency domain. Phasors also allow for easy addition, subtraction, and multiplication of AC waveforms.
No, phasors are only used to manipulate and analyze AC waveforms. DC waveforms do not have a frequency component, which is necessary for phasors to work. DC waveforms can be represented in rectangular form, but they do not require conversion using phasors.