EBK PHYSICS FOR SCIENTISTS AND ENGINEER
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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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)
Two identical conducting spheres A and B are initially electrically neutral. Sphere A is given a charge of Q. The two spheres are then touched together, allowing charge to distribute evenly, and then separated. After separation, an external source removes a charge of Q​/4 from sphere A. The two spheres are then touched together again and separated. What is the final charge on each sphere? Note: Assume the conductors and the interactions are ideal, meaning no loss of charge to the environment.

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EBK PHYSICS FOR SCIENTISTS AND ENGINEER

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