$(3)(2300$ V$,400hp,60112,$ eipht pote, Y connected synchonous motor has a rated power factor of $085$ leadens. At lull Jond, the effereme is $90$ percent. The armature tesistance is $08,$ and the symehtonous ceactance is $11.$ Find the following quantities for thes machene when it is operating, at full ioad:

$($a$)$ Out $($a$)$ tortque

$($b$)$ Input power

$($c$)n_m+$dotsdots$+n$

$($d$)$ E

$($e$){11}_{}l$

$($f$)P_{\text{e}\text{o}\text{n}\text{v}}$

$($g$)P_{\text{m}\text{e}\text{c}\text{t}}+P_{\text{c}\text{o}\text{r}\text{e}}+P_{sthy}>P_{\text{t}\text{o}\text{r}\text{s}}*P_{ks}$

a$)$ Pout $={}_{}{}_{0.t}$

$=1331\mathrm{.}55a^2$

$s=\frac{}{c}=389\mathrm{.}41$hat

$\{\begin{array}{c}\text{:}S=3v_{}{I}_A\end{array}$

$I_A=\frac{389\text{W}\text{V}\text{A}}{3\sqrt[\phantom{2}]{32300}(V)}=.$

$b$

$=2959m\frac{m}{a}9=331,5,5m$

$I_A=\frac{32\mathrm{.}5}{\frac{?}{{?}_{31\mathrm{.}78}}}A$

$c$

d$)$

$E_A=U_{}-I_A(x_S+R_N)$

$=\frac{3983\mathrm{.}71}{{?}_0}V-32\mathrm{.}88L31\mathrm{.}78A(\frac{11\mathrm{.}08}{{?}_{85\mathrm{.}8}})$

$=3983\mathrm{.}71L0.V-\frac{3\mathrm{.}5935}{{?}_{117\mathrm{.}58}}V(-3)$

$=4150V$

e$)|+-A|=(30\mathrm{.}53A)?(-1)$

f$)$

$l_{\text{i}\text{n}\text{v}}={}_{in}-{}_{cu}=331\mathrm{.}55Nw-(32\mathrm{.}53A{)}^2(0\mathrm{.}8)$

$=$$$30\mathrm{.}703hW$