Two star$-$connected motors are connected to a three$-$phase, $480$ V supply. The details of the motors are as follows:

Motor $1$ is a $100$ Hp induction motor, that operates fully loaded with an efficiency of $92\backslash (\backslash \%\backslash )$ at a power factor of $0\mathrm{.}8$ lagging.

Motor $2$ is a $50$ Hp synchronous motor, that is also fully loaded with an efficiency of $90\backslash (\backslash \%\backslash )$ at a power factor of $0\mathrm{.}9$ leading.

Two wattmeters are used to measure the total power drawn by the motors. Wattmeter $\backslash (\backslash$mathrm$\{$W$\}\_\{1\}\backslash ),$ has its current coil connected in the red line, and its voltage coil connected across the red and yellow lines.

Calculate:

i$.$ The current drawn by each motor through the red line.

ii$.$ The power measured by Wattmeter $\backslash (\backslash$mathrm$\{$W$\}\_\{1\}\backslash ).$

iii. The line current measured by Wattmeter $\backslash (\backslash$mathrm$\{$W$\}\_\{2\}\backslash ).$

iv$.$ The power measured by Wattmeter $\backslash (\backslash$mathrm$\{$W$\}\_\{2\}\backslash ).$

Recall that $\backslash (1\backslash$mathrm$\{$hp$\}=746\backslash$mathrm$\{$~W$\}\backslash )$