GATE Electrical Engineering (EE) 2016 Shift 2 Solved Paper

The inductance and capacitance of a $400\mathit{k}\mathit{V}$, three-phase, $50\mathit{H}\mathit{z}$ lossless transmission line are $1.6\mathit{m}\mathit{H}∕\mathit{k}\mathit{m}∕\mathit{p}\mathit{h}\mathit{a}\mathit{s}\mathit{e}$ and $10\mathit{n}\mathit{F}∕\mathit{k}\mathit{m}∕\mathit{p}\mathit{h}\mathit{a}\mathit{s}\mathit{e}$ respectively. The sending end voltage is maintained at $400\mathit{k}\mathit{V}$. To maintain a voltage of $400\mathit{k}\mathit{V}$ at the receiving end, when the line is delivering $300\mathit{M}\mathit{W}$ load, the shunt compensation required is