Question $1$

An electric power plant distributed the generated power evenly through $6$ high voltage alternative current overhead line into the grid. After travelling for $160$ km $,$ there is a $\backslash (6\backslash \%\backslash )$ loss of high voltage at the primary substation. The transformer at the primary substation has a primary coil, N$1=2000$ turns and secondary coil, N$2=200$ turns. The output voltage, V$2\backslash (=130\backslash$mathrm$\{$kV$\}\backslash )$ at $\backslash (100\backslash \%\backslash )$ efficiency.

a$)$ Determine the primary voltage, V$1.$

b$)$ Estimate the full voltage, Vo$,$ produced by the power station.

c$)$ Estimate the full power of the power station if the running current, lo $\backslash (=100\backslash$mathrm$\{$~A$\}\backslash ).$

$\backslash [$

$\backslash$begin$\{$array$\}\{$l$\}$

$\backslash$mathrm$\{$N$\}1=2000\backslash \backslash$

$\backslash$mathrm$\{$~N$\}2=200$

$\backslash$end$\{$array$\}$

$\backslash ]$