EXERCISE

$8\mathrm{.}5\mathrm{.}2$

Determine the complex power, apparent power, average power absorbed$,$ reactive power, and power factor $($including whether leading or lagging$)$ for a load circuit whose voltage and current at the input terminals are given by:

$($a$)$ v$($t$)=110$cos$(60$t$-60\backslash$deg $)$V$,$i$($t$)=4$cos$(60$t$-25\backslash$deg $)$A$.$

$($b$)$ v$($t$)=12$cos$(1000$t$+30\backslash$deg $)$V$,$i$($t$)=0\mathrm{.}4$cos$(1000$t$-15\backslash$deg $)$A$.$

$($c$)$ v$($t$)=-10$cos$(3000$t$+10\backslash$deg $)$V$,$i$($t$)=0\mathrm{.}5$sin$(3000$t$-5\backslash$deg $)$A$.$

$($e$)$ V$\_($rms$)=(6)/(20)\backslash$deg V$,$I$\_($rms$)=(255)/(15)\backslash$deg A$.$

$($f$)$ V$\_($rms$)=1840\backslash$deg V$,$I$\_($rms$)=(1)/(\_(-))50\backslash$deg A

JUST NEED HELP ON E$,$ THANK YOU!