Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 64P
To determine

The minimum radius of the sphere without dielectric breakdown.

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If the magnitude of an electric field in air is as great as 3.00×106 N/C, the air becomes ionized and begins to conduct electricity. This phenomenon is called dielectric breakdown. A charge of 27.8 μC is to be placed on a conducting sphere. What is the minimum radius of a sphere that can hold this charge without breakdown?
When the electric field in air exceeds a value of EDB = 3*10^6V/m (the dielectric strength), dielectric breakdown occurs and the air becomes ionized. If the electric field at the surface of a conductor exceeds this value, the ionization of the air will remove charge from the conductor until the electric field no longer exceeds 3*10^6V/m. What is the maximum charge that can be held on a conducting sphere in air in terms of the sphere's radius R and the dielectric strength of air EDB? (in terms, no specific numbers)
A conducting sphere with a radius of 17 cm is charged to 68V relative to V = 0 at r = 0o. What is the surface charge density o on the surface of the sphere? (E0 = 8.85 x 10 1ºC² /(Nm²)) Select one: o = 4.00 x 10 °C/m2 o = 2.95 x 10 8C/m² o = 3.54 x 10 C/m² o = 3.77 x 10 ®C/m²

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