Problem $2$

For the system shown in Figure $12\mathrm{.}5$:

a$)$ Find $\backslash (\backslash$mathbf$\{$I$\}\_\{\backslash$mathrm$\{$S$\}\}\backslash ).$

b$)$ Find the average power delivered to each element.

c$)$ Find the reactive power for each element.

d$)$ Find the apparent power for each element.

e$)$ Find $\backslash (\backslash$mathrm$\{$P$\}\_\{\backslash$mathrm$\{$T$\}\},\backslash$mathrm$\{$Q$\}\_\{\backslash$mathrm$\{$T$\}\},\backslash$mathrm$\{$S$\}\_\{\backslash$mathrm$\{$T$\}\}\backslash ).$

f$)$ Sketch the power triangle.

g$)$ Find the power factor seen by the source $\backslash (\backslash$mathbf$\{$E$\}\backslash ).$

Figure $12\mathrm{.}5$