A three$-$phase, $60Hz,400kV$ transmission line is $400km$ long. The line inductance and capacitance are $0\mathrm{.}95m\frac{H}{k}m$ and $0\mathrm{.}01\frac{F}{k}m$ per phase, respectively. Assume a lossless line. If the receiving$-$end load is $1000$MVA, $0\mathrm{.}9$ power factor lagging at $400kV,$

Determine MVAR and the capacitance of the shunt capacitors to be installed at the receiving end to maintain the receiving$-$end voltage at $400kV$ as the sending$-$end.

Find the sending$-$end voltage and voltage regulation if only series capacitors are installed at the midpoint of the line providing $45\%$ compensation.