Presentation on theme: "06.10.2011. A sinusoids is signal that has the form of the sine or cosine function. Consider the sinusoidal voltage."— Presentation transcript:
A sinusoids is signal that has the form of the sine or cosine function. Consider the sinusoidal voltage.
as a function of ωt as a function of t Sinusoids repeat itself every T seconds. T is called the period of sinusoids.
İf write t+T instead of t
The frequency f of the sinusoids
Consider a more general expression for the sinusoids. Phase (in radian or degrees)
Let us consider two sinusoids.
A sinusoids can be expressed either in sine or cosine function. We can transform a sinusoids from sine to cosine or vice versa.
The graphical technique can be also used to add two sinusoids of the same frequency.
For example; ?
Solution: Same form
A phasor is a complex number that represents the amplitude and phase of a sinusoid. Before we completely define phasors and apply them to circuit analysis, we need to be thoroughly familiar with complex numbers, A complex number z can be written in rectangular form as; imaginary part Real part
The complex number z can be written in polar or exponential form as; magnitude phase z can be expressed in three forms;
Relationship between polar and rectangular form;
Following operations are important;
İn general; Real part imaginary part Time-domain represantaion Phasor-domain represantaion