The capacitance per phase of a balanced three-phase overhead line is given by

\[
\mathrm{C}=\frac{0.0389}{\log (\mathrm{GMD} / r)} \mu \mathrm{f} / \mathrm{mi} / \text { phase }
\]

For the line of Problem 4.24, determine the capacitive reactance per phase in \(\Omega \cdot \mathrm{mi}\).

Problem 4.24

Consider a three-phase overhead line made up of three phase conductors: Linnet, \(336.4 \mathrm{kcmil}\), and ACSR 26/7. The line configuration is such that the horizontal separation between center of \(\mathrm{C}\) and that of \(\mathrm{A}\) is 40", and between that of \(\mathrm{A}\) and \(\mathrm{B}\) is also \(40^{\prime \prime}\) in the same line; the vertical separation of \(\mathrm{A}\) from the line of \(\mathrm{C}-\mathrm{B}\) is \(16^{\prime \prime}\). If the line is operated at \(60 \mathrm{~Hz}\) at a conductor temperature of \(75^{\circ} \mathrm{C}\), determine the inductive reactance per phase in \(\Omega / \mathrm{mi}\).