# 06.10.2011.  A sinusoids is signal that has the form of the sine or cosine function.  Consider the sinusoidal voltage.

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06.10.2011

 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; ? +3 -4 5

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

Sinusoid-Phasor Transformations Time-domain represantaion Phasor-domain represantaion

Solution:

Solution:

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