Consider a SMIB system in which the synchronous machine is generating $1\mathrm{.}0$ p$.$u$.$ MW and $0\mathrm{.}4$ p$.$u$.$ MVAR. The voltage of Infinite bus is $1+$j$0\mathrm{.}0$ p$.$u$.$ The machine transient reactance is $35$ p$.$u$.$ and the transmission line reactance is $0\mathrm{.}750$ p$.$u$.$

$(1)$ Calculate what should be the net susceptance of SVC to maintain V$\_\{$m$\}$ at $1\mathrm{.}01$ p$.$u$.(5)$

$($ii$)$ Calculate synchronizing torque co$-$ efficient and with and without SVC at midpoint of$$the$$line$.(8)$