Maximum Voltage on an Isolated Sphere: A large Van de Graff generator has a top electrode that can be crudely modeled as an isolated conducting sphere of radius a. Find an expression for the maximum possible voltage on the sphere before the surrounding gas begins to break down, and evaluate this result numerically for the case of a=1m in air and SF6 at standard temperature and pressure conditions. The respective breakdown fields under these conditions are 30kV/cm for air, and 90kV/cm for SF6.

Maximum Voltage on an Isolated Sphere: A large Van de Graff generator has a top electrode that can be crudely modeled as an isolated conducting sphere of radius a. Find an expression for the maximum possible voltage on the sphere before the surrounding gas begins to break down, and evaluate this result numerically for the case of a=1m in air and SF6 at standard temperature and pressure conditions. The respective breakdown fields under these conditions are 30kV/cm for air, and 90kV/cm for SF6.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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