Capacitance between the two conductors of a single-phase two-wire line is 1 μF/km. What will be the capacitance of each conductor to the neutral?

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  1. 1 μF/km
  2. 2 μF/km
  3. 0.5 μF/km
  4. zero

Answer (Detailed Solution Below)

Option 2 : 2 μF/km
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Detailed Solution

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Concept

F3 Vinanti Engineering 30.03.23 D3

Consider two conductors A and B, kept at a distance of 'D'.

In the given figure, CAN and CBN represent the line to neutral capacitance.

CAB represents the line-to-line capacitance.

\(C_{AN}=C_{BN}=2C_{AB}\)

Calculation

Given, \(C_{AB}=1\mu F/km\)

\(C_{AN}=C_{BN}=2(1)\space \mu F/km\)

\(C_{AN}=C_{BN}=2\space \mu F/km\)

Mistake Points Since capacitance is inversely proportional to impedance.

∴ CAN and CBN connected in series are not equal rather the correct expression is:

\(C_{AN}=C_{BN}=2C_{AB}\)

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