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PGCIL DT Electrical 13 Aug 2021 Official Paper (NR I)

Option 2 : the magnetic flux lines and partial potential lines

**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:-

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.