$10\mathrm{.}30$ A factory has an electrical load of $1800$ kW at a lagging power factor of $0\mathrm{.}6.$ An additional variable power factor load is to be added to the factory. The new load will add $600$ kW to the real power load of the factory. The power factor of the added load is to be adjusted so that the overall power factor of the factory is $0\mathrm{.}96$ lagging.

Specify the reactive power associated with the added load.

Does the added load absorb or deliver magnetizing vars?

What is the power factor of the additional load?

Assume that the voltage at the input to the factory is

$4800$

$$V

$($

rms

$)$

$.$

What is the rms magnitude of the current into the factory before the variable power factor load is added?

What is the rms magnitude of the current into the factory after the variable power factor load has been added?