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Test: Calculation of Capacitance of Transmission Line - Electrical Engineering (EE) MCQ


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5 Questions MCQ Test Power Systems - Test: Calculation of Capacitance of Transmission Line

Test: Calculation of Capacitance of Transmission Line for Electrical Engineering (EE) 2024 is part of Power Systems preparation. The Test: Calculation of Capacitance of Transmission Line questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Calculation of Capacitance of Transmission Line MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Calculation of Capacitance of Transmission Line below.
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Test: Calculation of Capacitance of Transmission Line - Question 1

The presence of earth in case of overhead transmission line

Detailed Solution for Test: Calculation of Capacitance of Transmission Line - Question 1

Concept: 
The capacitance of overhead transmission lines when the earth effect is neglected is given by

The capacitance of overhead transmission lines when the earth effect is considered is given by

In the above expressions, D is the interspacing distance between conductors, r is the radius of the conductors, and h is the height of the transmission line from the ground.
It can be observed that the presence of earth modifies the radius of the conductor from r to 
Therefore the denominator as whole decreases and net capacitance increases.

Test: Calculation of Capacitance of Transmission Line - Question 2

Consider the following types of transmission lines:

  1. Open-wire line
  2. Twin-lead wire
  3. Coaxial cable

The capacitance per metre will be least in which of the above transmission lines?

Detailed Solution for Test: Calculation of Capacitance of Transmission Line - Question 2

Open-wire line:

The capacitance of an open-wire line is given by,

Where r is the radius of the conductor
d is the distance between the lines
Twin-lead wire:

The capacitance of a twin-lead wire is given by,

Where r is the radius of the conductor
D is the distance between the conductors
Coaxial cable:

The capacitance of a co-axial cable is given by,

Where b is the radius of the outer conductor
a is the radius of the inner conductor

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Test: Calculation of Capacitance of Transmission Line - Question 3

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

Detailed Solution for Test: Calculation of Capacitance of Transmission Line - Question 3

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

Test: Calculation of Capacitance of Transmission Line - Question 4

The conductors of a three – phase 50 Hz, 125 km long transmission line are shown in the figure. The diameter of each conductor is 0.6 cm. What is the value of inductance per phase?

Detailed Solution for Test: Calculation of Capacitance of Transmission Line - Question 4

Ds = 0.7788r = 0.7788 × 0.3 = 0.233 cm

= 1.38 × 10-6 H/m
= 1.38 × 10-3 H/km
The value of the inductance
L = 1.38 × 10-3 × 125 = 0.1725 H

Test: Calculation of Capacitance of Transmission Line - Question 5

If the separation between the three phases of a transmission line is increased then

Detailed Solution for Test: Calculation of Capacitance of Transmission Line - Question 5

Inductance, L ∝ ln (D/r)
Capacitance 
Hence the inductance will increase and the capacitance will decrease

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