Calculation of capacitances between line conductors and between conductor to neutral or earth is NOT based on:

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PGCIL DT Electrical 13 Aug 2021 Official Paper (NR I)
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  1. the electric field strength
  2. the magnetic flux lines and partial potential lines
  3. the total charge with the potential difference
  4. the potential difference between conductors

Answer (Detailed Solution Below)

Option 2 : the magnetic flux lines and partial potential lines
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Detailed Solution

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Explanation:

The capacitance between line conductors:

The capacitance of the line conductors forms the shunt admittance. The conductance in the line is because of the leakage over the surface of the conductor. Considered a line consisting of two conductors a and b each of radius r. The distance between the conductors being D is shown in the diagram below:-

F1 Shubham  Shraddha 19.8.2021 D5

The potential difference between the conductors is:

\(​V=\frac{1}{\pi\epsilon}q_aln(\frac{D}{r})\)

Where,

qa = Charge on conductor A

qb = 0, due to neutral or earth.

V = the potential difference between the conductors

ε = absolute permittivity

D = distance between the conductors

The capacitance between the conductors is:

\(C=\frac{q_a}{V}\)

\(​C=\frac{\pi\epsilon}{ln\frac{D}{r}} \ F/m\)

From the above two equations, we can say that the capacitances between line conductors and between conductors to neutral are not dependent on the magnetic flux lines and partial potential lines.

Hence option (2) is the correct answer.

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