Complex Power Calculations
\tilde{S} = \frac{\tilde{V}\tilde{I}^*}{2}
Consider the following circuit in which the analysis is to be performed assuming
steady-state conditions.
(a) Assuming $R_1 = 300 \Omega$, $R_2 = 800$
$\Omega$, $C = 50 \mu F$, $L = 25H$ and $V_s(t) =$
$20cos(50t)$ V, find the complex power
associated with $R_1$, $R_2$, L and C. Express
the complex power in both rectangular
and polar formats.
(b) Calculate the complex power associated with the source and verify that
complex power is conserved.
(c) Plot a phasor diagram which includes the following: source voltage, source
current, inductor voltage and voltage drop across $R_2$.
(d) What is the power factor of the circuit \"seen\" by the source?