a$)$A $3$ph star connected synchronous generator supply current of $10$A having a phase angle of $20\backslash$deg lagging at $400$V$.$ Find the load angle and the components of armature current I$\_\{$d$\}$ and L$\_\{$q$\}$ if x$\_\{4\}=10$ and X$\_\{0\}=6\mathrm{.}5$Omega Assume armature resistance to be negligible

$($b$)$ Two similar single phase alternators are running in parallel. Their emf's are $100$V and $105$V respectively and the impedance of each is $(0\mathrm{.}2+$j$1\mathrm{.}0)!$ Find the terminal voltage, current and power supplied by each machine to a load impedance $(2+$j$3)$ Omega

$5+5$