(a) Consider a section of a standard co-axial cable, such as RG-11. The diameter of the central conductor is d and that of the very thin metallic shield is D. The insulation between the central conductor and the shield forms a capacitance. Consider a cylindrical shell of the insulation of that section with radius, r, length h, infinitesimally small thickness dr, from the central axis of the cable. The capacitance of this very thin shell is given by dC = 2πrch/dr where & is the permittivity of the insulation. Derive the total capacitance per unit length, C, of the cable. (

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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(a) Consider a section of a standard co-axial cable,
such as RG-11. The diameter of the central
conductor is d and that of the very thin metallic
shield is D. The insulation between the central
conductor and the shield forms a capacitance.
Consider a cylindrical shell of the insulation of that
section with radius, r, length h, infinitesimally small
thickness dr, from the central axis of the cable. The
capacitance of this very thin shell is given by dC =
2trɛh/dr where ɛ is the permittivity of the
insulation. Derive the total capacitance per unit
length, C, of the cable. "
Transcribed Image Text:(a) Consider a section of a standard co-axial cable, such as RG-11. The diameter of the central conductor is d and that of the very thin metallic shield is D. The insulation between the central conductor and the shield forms a capacitance. Consider a cylindrical shell of the insulation of that section with radius, r, length h, infinitesimally small thickness dr, from the central axis of the cable. The capacitance of this very thin shell is given by dC = 2trɛh/dr where ɛ is the permittivity of the insulation. Derive the total capacitance per unit length, C, of the cable. "
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