Consider the situation shown in$($Figure $1).$A$1000-$VV$-$rms$$source delivers power to a load. The load consumes$100$kW$$with a power factor of$65$percent lagging. Find the phasor$$I$,$assuming that the capacitor is not connected to the circuit. Find the value of the capacitance that must be connected in parallel with the load to achieve a power factor of $100$ percent. Usually, power$-$systems engineers rate capacitances used for power$-$factor correction in terms of their reactive power rating. What is the rating of this capacitance in$$kVAR$?$ Assuming that this capacitance is connected, find the new value for the phasor$$I$.$