The per$-$phase circuit of a three$-$phase system consisting of a motor drawing power from a factor $($lagging$).$ If $x_a=j0\mathrm{.}25$ per unit on $100$ MVA base, $x_m=j0\mathrm{.}2$ per unit on $50$ MVA $,$ and $x_{\text{L}\text{i}\text{n}\text{e}}=$ jo$\mathrm{.}05$ per unit on $100$ MVA base. Assume that the system has a base voltage of $11$ kV and base power of $100$MVA,

a$)$ Determine the current drawn by the motor, in per unit and Amperes, during normal operation if the terminal voltage acruss the motor is $10\mathrm{.}95$ kV $.$

b$)$ If a three$-$phase symmetrical fault ocisurs at the motor side, calculate the total fault current, in per unit and Amperes.