$5-$Consider the lossless power system below.

i$)$ If it is assumed $P=100MW,Q=200$MVAR,$x=1,$ and $|V_2|=20kV,$ calculate $|V_1|$ and $Q_G.$

ii$)$ If it is assumed $P=100MW,x=1,|V_1|=|V_2|=20kV,$ calculate $Q.$

iii$)$ If it is assumed $x=1,|V_1|=|V_2|=20kV,$ how much is the maximum transmittable active power that can delivered to the load through the transmission line?

iv$)$ If it is assumed $x=1,Q=0,$ and $|V_1|=20kV,$ compute the maximum transferable active power that can be delivered to the load through the transmission line. In this case, achieve $|V_2|$ and $.$

v$)$ If it is assumed $x=1,|V_1|=|V_2|=20kV,$ and $Q_{\text{l}\text{o}\text{s}\text{s}}=80$MVAR, then find $P.$