It is common to use sinusoids and phasors to analyze AC circuits. So it is important to learn them.
The reasons behind the use of sinusoids in AC circuit analysis are,
- Almost all natural phenomena have sinusoidal characteristics.
- Signals in the sinusoidal form are simple to generate and transmit.
- Using Fourier analysis, any practical periodic signal can be represented as a sum of sinusoids.
- Mathematically, a sinusoid is easy to handle
Confused? don’t worry, I’ll explain each one to you.
First, nature itself is characteristically sinusoidal. There is a sinusoidal variation in the motion of most natural phenomena. Some examples include the motion of a pendulum, the vibration of a string, the ripples on the ocean texture, and the natural response to underdamped second-order systems.