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Sinusoidal Steady-State Analysis
In a linear, time invariant(LTI)circuit, if the source is a sinusoid(steady-state), then phasor analysis could be employed.
The steps to analyze the AC circuit are with phasor:
1) Transform the sinuoid source to the phasor or frequency domain;
Epxress the source in cosine form(real part of the phasor):
v(t)=Vm*cos(¦Øt+§¶)
then the phasor form would be
V=Vm*exp(§¶)
2) Solve the problem in phasor doamin using the same techniques as in DC analysis;
The impedance or admittance of circuit element are to be expressed in phasor domain.
3) Transform the resulting phasor to time domain
The solution in time domain would be the real part of the resulting phasor(Vom*exp(§¶o)), i.e.,
vo(t)=Vom*cos(¦Øt+§¶o)
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