A coaxial cable has the following specifications: a = 1.0mm, b = 3.2mm, spacer er = 2.1 The outer conductor is earthed and has thickness 0.2mm. The inner conductor is raised to a potential of 1kV, and balanced opposing charges allowed to accumulate on the conductor surfaces. (i) Show that the charge per unit length deposited on each conductor is approximately 100nC m (ii) Calculate the magnitude of the electric field IE| at radial positions 0.5mm, 1.0mm, 2mm, 3.2mm and 5mm from the midpoint. (ii) Sketch plots of |E](r) and $(r) with increasing radial distance from the cable axis.

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A coaxial cable has the following specifications:
a = 1.0mm, b = 3.2mm, spacer tr = 2.1
The outer conductor is earthed and has thickness 0.2mm. The inner
conductor is raised to a potential of 1kV, and balanced opposing
charges allowed to accumulate on the conductor surfaces.
(i) Show that the charge per unit length deposited on each
conductor is approximately 100nC m
(ii) Calculate the magnitude of the electric field JE| at radial
positions 0.5mm, 1.0mm, 2mm, 3.2mm and 5mm from the
midpoint.
(iii) Sketch plots of E](r) and $(r) with increasing radial distance
from the cable axis.
(iv) The dielectric strength of the spacer is 20kV/mm. Calculate the
maximum operating voltage of the cable, allowing for a safety
margin of 5:1
Transcribed Image Text:A coaxial cable has the following specifications: a = 1.0mm, b = 3.2mm, spacer tr = 2.1 The outer conductor is earthed and has thickness 0.2mm. The inner conductor is raised to a potential of 1kV, and balanced opposing charges allowed to accumulate on the conductor surfaces. (i) Show that the charge per unit length deposited on each conductor is approximately 100nC m (ii) Calculate the magnitude of the electric field JE| at radial positions 0.5mm, 1.0mm, 2mm, 3.2mm and 5mm from the midpoint. (iii) Sketch plots of E](r) and $(r) with increasing radial distance from the cable axis. (iv) The dielectric strength of the spacer is 20kV/mm. Calculate the maximum operating voltage of the cable, allowing for a safety margin of 5:1
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