Problem $6$ Fun with Complex Power

$10$pts

$L_1=3000kW,$

$L_2=1200$kVAR,$=30$

$L_3=2400$kVAR,$p_{\text{c}\text{a}\text{p}\text{o}\text{c}\text{i}\text{t}\text{i}\text{v}\text{e}}=0\mathrm{.}5$

a$)$ Draw the PQS triangles for loads $L_1{L}_2$ and $L_3$

b$)$ Find the total average power $P$ the total reactive power $Q$ and the total complex powerS for the sum of all $3$ loads.

c$)$ Draw the PQS triangle for part $b$

d$)$ By how many degrees will I be out of phase with the source voltage?