1. 06.10.2011

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

3. as a function of ωt as a function of t  Sinusoids repeat itself every T seconds.  T is called the period of sinusoids.

4. İf write t+T instead of t

5.  The frequency f of the sinusoids

6.  Consider a more general expression for the sinusoids. Phase (in radian or degrees)

7.  Let us consider two sinusoids.

8.  A sinusoids can be expressed either in sine or cosine function.  We can transform a sinusoids from sine to cosine or vice versa.

10.  The graphical technique can be also used to add two sinusoids of the same frequency.

11.  For example; ? +3 -4 5

13. Solution: Same form

15.  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

16.  The complex number z can be written in polar or exponential form as; magnitude phase  z can be expressed in three forms;

17.  Relationship between polar and rectangular form;

18.  Following operations are important;

20. İn general; Real part imaginary part Time-domain represantaion Phasor-domain represantaion

21. Sinusoid-Phasor Transformations Time-domain represantaion Phasor-domain represantaion

26. Solution:

28. Solution: