SINUSOIDS (AC Analysis)

SINUSOIDS 

Here we are, the basic of all learnings we are about to pass through in this program. Since we are dealing with alternating power (AC analysis), we have to first have the foundation of the structures and understand its components. Because unlike direct current (DC), alternating current (AC) is oscillating and periodic, which mean it is in a form of a sinusoid, a signal that has the form of the sine or cosine function. Sinusoidal functions are the basis for study of all periodic functions. This periodic pattern contains several sinusoidal functions.

Amplitude - highest and lowest point of the wave.

Period (T) - the amount of time the wave has to consume in order to get back to a specified point of origin.

As mentioned, the period (T) of the periodic function is the time of one
complete cycle or the number of seconds per cycle. The reciprocal of
this quantity is the number of cycles per second, known as the cyclic
frequency f of the sinusoid. Thus, 

However, sinusoids in AC analysis will have an angle. Thus:

Showing a figure that will clearly illustrate and show the lags and leads of the two given sinusoids.

A sinusoid can be expressed in either sine or cosine form. When
comparing two sinusoids, it is expedient to express both as either sine
or cosine with positive amplitudes. This is achieved by using the following trigonometric identities:

And there we have it! The start of it all, understanding the alternating electricity (AC) is just the beginning. We know, however far we will get, there is always something more to learn :)