What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable.

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This design project involves the use of layers of
dielectrics in a high voltage cable. These layers have
different permittivities €. Since the dielectric must
withstand the maximum potential gradient of (q/2π€¸€x),
a homogeneous dielectric is used uneconomically at all
radii greater than r. Therefore, a compromise can be
effected by using two or three dielectrics with different
values of €.
Suppose, for example, there are three layers of dielectric
of outer radii r₁ r₂ and R and of dielectric constants €₁,
€₂ and 3 as shown in the following Figure.
=
VEL
€3
Figure 1: High voltage cable layers o different
permittivities
1. Let r
=4 and €,=3
R
10mm, R = 25mm, Emax=4kV/mm, €₁ =5, €₂
Transcribed Image Text:This design project involves the use of layers of dielectrics in a high voltage cable. These layers have different permittivities €. Since the dielectric must withstand the maximum potential gradient of (q/2π€¸€x), a homogeneous dielectric is used uneconomically at all radii greater than r. Therefore, a compromise can be effected by using two or three dielectrics with different values of €. Suppose, for example, there are three layers of dielectric of outer radii r₁ r₂ and R and of dielectric constants €₁, €₂ and 3 as shown in the following Figure. = VEL €3 Figure 1: High voltage cable layers o different permittivities 1. Let r =4 and €,=3 R 10mm, R = 25mm, Emax=4kV/mm, €₁ =5, €₂
4. What is the percentage of the operating voltage
increase using the same conductor diameter and the
same overall dimensions of the cable.
Transcribed Image Text:4. What is the percentage of the operating voltage increase using the same conductor diameter and the same overall dimensions of the cable.
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