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The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line is
  • a)
    4.2 × 10-9 F
  • b)
    8.4 × 10-9 F
  • c)
    4.2 × 10-12 F
  • d)
    8.4 × 10-12 F
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The horizontally placed conductors of a single phase line operating at...
× 10^-12 F/m.

To find the capacitance per unit length of the line, we can use the formula:

C = (2πεε₀) / ln(b/a)

Where:
C = capacitance per unit length (F/m)
ε = relative permittivity (dimensionless)
ε₀ = permittivity of free space (8.854 × 10^-12 F/m)
b = spacing between centers of the conductors (6 m)
a = radius of each conductor (1.6 cm / 2 = 0.8 cm = 0.008 m)

Plugging in the values:

C = (2π × ε × 8.854 × 10^-12) / ln(6/0.008)

Now, we need to determine the relative permittivity (ε) of the material between the conductors. This value is usually provided in the problem statement or can be calculated using the material's dielectric constant.

Once we have the value of ε, we can substitute it into the equation and calculate the capacitance per unit length (C).
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Community Answer
The horizontally placed conductors of a single phase line operating at...
Concept:
The capacitance of line:
The capacitance of each conductor to neutral is given by,

Where,
d = distance between the conductors 
r = radius of conductors
Calculation:
Diameter of conductor = 1.6 m
Radius, r = 0.8 m
Distance d = 6m
The capacitance of each line os

= 8.4 × 10-12
The capacitance per km will be
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line isa)4.2 × 10-9 Fb)8.4 × 10-9 Fc)4.2 × 10-12 Fd)8.4 × 10-12 FCorrect answer is option 'B'. Can you explain this answer?
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The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line isa)4.2 × 10-9 Fb)8.4 × 10-9 Fc)4.2 × 10-12 Fd)8.4 × 10-12 FCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line isa)4.2 × 10-9 Fb)8.4 × 10-9 Fc)4.2 × 10-12 Fd)8.4 × 10-12 FCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line isa)4.2 × 10-9 Fb)8.4 × 10-9 Fc)4.2 × 10-12 Fd)8.4 × 10-12 FCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The horizontally placed conductors of a single phase line operating at 50 Hz are having outside diameter of 1.6 cm, and the spacing between centers of the conductors is 6 m. The permittivity of free space is 8.854 × 10-12 F/m. The capacitance to ground per kilometer of each line isa)4.2 × 10-9 Fb)8.4 × 10-9 Fc)4.2 × 10-12 Fd)8.4 × 10-12 FCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
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