GATE Electrical Engineering (EE) 2016 Shift 1 Solved Paper

A three-phase cable is supplying $800\mathit{k}\mathit{W}$ and $600\mathit{k}\mathit{V}\mathit{A}\mathit{r}$ to an inductive load. It is intended to supply an additional resistive load of $100\mathit{k}\mathit{W}$ through the same cable without increasing the heat dissipation in the cable, by providing a three-phase bank of capacitors connected in star across the load. Given the line voltage is $3.3\mathit{k}\mathit{V},50\mathit{H}\mathit{z}$, the capacitance per phase of the bank, expressed in microfarads, is ________.