Figure 3.4 shows a single-phase transmission line including two conductors (" 1 " and " 3 ") for sending power and one conductor ("2") for receiving power. The Geometrical Mean Radius (GMR) of each conductor is \(r^{\prime}\). Calculate the inductance of the line in \(\mathrm{H} / \mathrm{m}\).

1) \(2 \times 10^{-7} \ln \left(\frac{D}{r^{\prime}}ight)\)

2) \(2 \times 10^{-7} \ln \left(\sqrt{\frac{r^{\prime}}{2 D}}ight)\)

3) \(2 \times 10^{-7} \ln \left(\sqrt{\frac{D}{2 r^{\prime}}}ight)\)

4) \(10^{-7}\left(3 \ln \left(\frac{D}{r^{\prime}}ight)-\ln (2)ight)\)

Transcribed Image Text:

D 2 D 3