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06.10.2011

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

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

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İf write t+T instead of t

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The frequency f of the sinusoids

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

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Let us consider two sinusoids.

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

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

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For example; ? +3 -4 5

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Solution: Same form

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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

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

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Relationship between polar and rectangular form;

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Following operations are important;

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

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

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Solution:

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Solution:

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