# A single-phase transmission line has 2 parallel conductors 4m apart radius of each conductor being 2 cm. Calculate the capacitance of the line per Km

A single-phase transmission line has 2 parallel conductors 4m apart radius of each conductor being 2 cm. Calculate the capacitance of the line per Km given that Eo = 8.854 × 10-12F/m

### Right Answer is: 5.247 x 10−3 F/m

#### SOLUTION

Given

Spacing of conductor = 4 m = 400 cm

The capacitance of the line is given by the expression

$\begin{array}{l} = \dfrac{{\pi {\varepsilon _o}}}{{{{\log }_e}\dfrac{d}{r}}}F/m\\\\= \dfrac{{\pi \times 8.854{\rm{ }} \times {\rm{ }}{{10}^{ – 12}}}}{{{{\log }_e}\dfrac{{400}}{2}}}F/m\end{array}$

= 5.247 × 10−12 F/m

or

= 5.247 × 10−3 µF/m

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