SSE JE Electrical Engineering 24 March 2021 Shift 1 Paper

Question : 112 of 200

Marks: +1, -0

A single-phase line consists of two long solid conductors, each having a radius of r metre separated by a distance of D metre. What will be capacitance between the

${0.121}/{\log ({ \D }/{ \r })} \µ\F \/ \km$
${0.0121}/{\log ({ \D }/{ \r })} \µ\F \/ \km$
${0.121}/{\log ({ \r }/\D)} \µ\F \/ \km$
${0.0121}×{\log ({ \D }/{ \r })} \µ\F \/ \km$

Validate

Solution:

\ε_0=8.85 ×10^{-12}

\ε_{r}=1

(for air),

\π=3.14

\ln (\D / \r)=2.303 \log (\D / \r)

The standard result for the capacitance between the conductors

\C_\AB={\π\ε_{ \r } \ε_0} / {\ln ( \D / \r )}

=(3.14 × 8.85 ×10^{-12} × 1) /(2.303 \log ( \D / \r )) \F \/ \m

={0.0121}/{\log ({ \D }/{ \r })} \µ\F \/ \km

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