To see why charge density and electric field are larger at the sharp corners of a conductor, consider two metal spheres of radii, r1 = R and r2 = 12.5R, both charged to the same potential, V0. What is the ratio η1/η2? of their surface charge densities?  What is the ratio E1/E2? of their of the electric field strengths at their surfaces?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter7: Electric Potential
Section: Chapter Questions
Problem 64P: The surface charge density on a long straight metallic pipe is . What is the electric potential...
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To see why charge density and electric field are larger at the sharp corners of a conductor, consider two metal spheres of radii, r1 = R and r2 = 12.5R, both charged to the same potential, V0.

What is the ratio η12? of their surface charge densities? 

What is the ratio E1/E2? of their of the electric field strengths at their surfaces? 

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