EXAMPLE $19\mathrm{.}8$ a$.$ A small industrial plant has a $10$ kW heating load and a $20$ kVA in ductive load due to a bank of induction motors. The heating elements are considered purely resistive $($Fp $1),$and the induction motors have a lagging power factor of $0\mathrm{.}7.$ If the supply is $1000$ V at $60$ Hz$,$deter mine the capacitive element required to raise the power factor to $0\mathrm{.}95.$ b$.$ Compare the levels of current drawn from the supply