Analysis of steady-state linear circuits with sinusoidal inputs using phasors and impedances requires
complex arithmetic. MATLAB can be used to reduce the effort required to do this complex arithmetic.
Consider the circuit shown in Figure 7-1a. The input to this circuit, vs(t), is a sinusoidal voltage. At steady
state, the output, vo(t), will also be a sinusoidal voltage as shown in Figure 10.15-1a. This circuit can be
represented in the frequency domain using phasors and impedances as shown in Figure 10.15-1b.
Analysis of this circuit proceeds as follows. Let Z1 denote the impedance of the series combination of R1
and jw L. That is