High Voltage Technique For the most puncture-related arrangement of a concentric spherical electrode system with a voltage of 100 kV to be applied between the electrodes and with Ed=80 kV/cm (insulator puncture strength), Emax = 0.6. Ed a) Inner and outer sphere radii, b) Maximum and minimum field strengths, c) Equivalent electrode opening and utilization factor, d) Its capacity (Ɛ0=8,854x10-12 F/m, Ɛr=1) and insulator volume, e) By keeping the outer sphere radius constant, calculate the inner sphere radius value range that can be used in the system without discharge.

High Voltage Technique For the most puncture-related arrangement of a concentric spherical electrode system with a voltage of 100 kV to be applied between the electrodes and with Ed=80 kV/cm (insulator puncture strength), Emax = 0.6. Ed a) Inner and outer sphere radii, b) Maximum and minimum field strengths, c) Equivalent electrode opening and utilization factor, d) Its capacity (Ɛ0=8,854x10-12 F/m, Ɛr=1) and insulator volume, e) By keeping the outer sphere radius constant, calculate the inner sphere radius value range that can be used in the system without discharge.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter25: Surge, Spike, And Lightning Protection

Section: Chapter Questions

Problem 10RQ: In reference to the load, how are capacitors connected to help prevent voltage spikes and surges?...

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Concept explainers

Dielectric Breakdown

A dielectric is a material with low electrical conductivity and so is classified as an insulator. Dielectric materials are used to block the flow of electricity through them, allowing them to behave as an insulators. They can also be used to store electric charge or improve capacitance.Dielectrics have no free electrons for conduction because electrons are tightly bound to the nucleus. Because dielectrics contain a small number of electrons for electrical conductivity, they have a dipole. The two primary roles of dielectrics in electrical devices are insulation and electrical energy storage. An electric field polarizes the dielectric, and the polarization of the molecules allows dielectric materials to store charge.

Question

High Voltage Technique

For the most puncture-related arrangement of a concentric spherical electrode system with a voltage of 100 kV to be applied between the electrodes and with E_d=80 kV/cm (insulator puncture strength), Emax = 0.6. Ed

a) Inner and outer sphere radii,
b) Maximum and minimum field strengths,
c) Equivalent electrode opening and utilization factor,
d) Its capacity (Ɛ₀=8,854x10^-12 F/m, Ɛ_r=1) and insulator volume,
e) By keeping the outer sphere radius constant, calculate the inner sphere radius value range that can be used in the system without discharge.

ANSWERS:

a) r₁=4.16 cm, r₂=8.32 cm

b) E_max=48 kV/cm, E_min=12 kV/cm

c) α=2.08 cm, η=0.5

d) C=9.257 pF, V_insulator=2110 cm³

e)1.53<r₁<6.8 cm

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