A $1$$,200$ kVA, $2100=210$ V$,60$ Hz transformer has the following characteristics. The impedance of the high$-$voltage winding is $0$:$25+$ j$1$:$5$ with the low$-$voltage winding short$-$circuited. The admittance $($i$.$e$.,$ inverse of impedance$)$ of the low$-$voltage winding is $0$:$025$ j$0$:$075$ mhos with the high$-$voltage winding open$-$circuited. $($a$)$ Taking the transformer rating as base, determine the base values of power, voltage, current, and impedance for both the high$-$voltage and low$-$voltage sides of the transformer. $($b$)$ Determine the per$-$unit value of the equivalent resistance and leakage reactance of the transformer. $($c$)$ Determine the per$-$unit value of the excitation current at rated voltage. $($d$)$ Determine the per$-$unit value of the total power loss in the transformer at full$-$load output condition.

A $1$$,200$ kVA, $2100=210$ V$,60$ Hz transformer has the following characteristics. The impedance of the high$-$voltage winding is $0$:$25+$ j$1$:$5$ with the low$-$voltage winding short$-$circuited. The admittance $($i$.$e$.,$ inverse of impedance$)$ of the low$-$voltage winding is $0$:$025$ j$0$:$075$ mhos with the high$-$voltage winding open$-$circuited. $($a$)$ Taking the transformer rating as base, determine the base values of power, voltage, current, and impedance for both the high$-$voltage and low$-$voltage sides of the transformer. $($b$)$ Determine the per$-$unit value of the equivalent resistance and leakage reactance of the transformer. $($c$)$ Determine the per$-$unit value of the excitation current at rated voltage. $($d$)$ Determine the per$-$unit value of the total power loss in the transformer at full$-$load output condition.