c) A high-voltage transmission line conductor of radius 10mm is suspended in air, at height = 12m above an ideal ground plane. Using the method of images, the field distribution at ground level can be estimated as shown in Figure 1. Ep Image Charge Figure 1 (i) Sketch a plot of the electric potential and electric field along a vertical line from the centre of the wire to the ground. (ii) The line is operated at +33kV dc. Estimate the charge density λ on the conductor to the nearest nC/m (iii) What is the line to ground capacitance per unit length of this trasmission line? State any assumptions made and explain your reasoning.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.34MCQ
Question
c) A high-voltage transmission line conductor of radius 10mm is suspended in air,
at height = 12m above an ideal ground plane. Using the method of images,
the field distribution at ground level can be estimated as shown in Figure 1.
Ep
Image Charge
Figure 1
(i) Sketch a plot of the electric potential and electric field along a vertical line
from the centre of the wire to the ground.
(ii) The line is operated at +33kV dc. Estimate the charge density λ on the
conductor to the nearest nC/m
(iii) What is the line to ground capacitance per unit length of this trasmission
line? State any assumptions made and explain your reasoning.
Transcribed Image Text:c) A high-voltage transmission line conductor of radius 10mm is suspended in air, at height = 12m above an ideal ground plane. Using the method of images, the field distribution at ground level can be estimated as shown in Figure 1. Ep Image Charge Figure 1 (i) Sketch a plot of the electric potential and electric field along a vertical line from the centre of the wire to the ground. (ii) The line is operated at +33kV dc. Estimate the charge density λ on the conductor to the nearest nC/m (iii) What is the line to ground capacitance per unit length of this trasmission line? State any assumptions made and explain your reasoning.
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