An industrial load consisting of a bank of induction motors consumes \(50 \mathrm{~kW}\) at a power factor of 0.8 lagging from a \(220-\mathrm{V}, 60-\mathrm{Hz}\), single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to \(0.95 \mathrm{lag}\) ging. Find the net capacitance of the capacitor bank in \(\mu \mathrm{F}\) that is required.