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SINUSUIDS AND PHASORS
SINUSUIDS AND PHASORS
 A sinusoid is a signal that has the form of the
sine or cosine function.
 A sinusoidal current is usually referred to as
alternating current (ac).
 Such a current reverses at regular time
intervals and has alternately positive and
negative values. Circuits driven by sinusoidal
current or voltage sources are called ac
circuits.
SINUSUIDS
 Consider the sinusoidal voltage
 Where
 It is evident that the sinusoid repeats itself every T seconds;
thus, T is called the period of the sinusoid. We observe that
ωT = 2∏
 So
SINUSUIDS
 where (ωt + σ) is the argument and σ is the
phase. Both argument and phase can be in
radians or degrees.
SINUSUIDS
EXAMPLE
PHASORS
 Z can be represented in three different ways
Representation of Complex
PHASORS
 Addition and subtraction can be better perform in
rectangular form while multiplication and division can be
done in polar form easily.
PHASORS
PHASORS
INDUCTOR PHASE
RELATIONSHIP
CAPACITOR PHASE
RELATIONSHIP
VOLTAGE CURRENT RELATIONSHIP
Apply Nodal analysis techniques to find Vo in the circuit.
NODAL ANALYSIS
MESH ANALYSIS
Sinusoids.pptx

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Sinusoids.pptx