8.5 TRANSFORMING A CIRCUIT INTO A PHASOR EQUIVALENT CIRCUIT
We have already seen that we can write the KVL and KCL equations directly in terms of complex amplitudes (i.e., phasors) and that there are well-defined relations between complex voltage amplitude (i.e., voltage phasors) and complex current amplitude (i.e., current phasors) for all two-terminal elements.
The ratio of voltage phasor to current phasor is equal to R in the case of a resistor. It is jωL in the case of an inductor and it is 1/jωC in the case of a capacitor.
These facts suggest that we need not write down the mesh or node equations in the time-domain at all. We can write them in terms of mesh current phasors or node voltage phasors using the element relation that ties up the ...