Problem 3.42. Consider two conducting spheres, each of radius R and charge Q; the distance between their centers is a > 2R. The force between them was calculated in the mid-nineteenth century, by the method of images. Explain how to do it (using Ex. 3.2 and the strategy of Prob. 3.41). Show how to determine the image charges 91, 92, 93, . . ., and their respective distances from the centers b₁ = 0, b₂, b3,..., but don't bother with the calculational details (we'll save those for the next problem). Is the force always repulsive, or (as in Prob. 3.11) is there be a critical separation below which the two spheres attract?23

Problem 3.42. Consider two conducting spheres, each of radius R and charge Q; the distance between their centers is a > 2R. The force between them was calculated in the mid-nineteenth century, by the method of images. Explain how to do it (using Ex. 3.2 and the strategy of Prob. 3.41). Show how to determine the image charges 91, 92, 93, . . ., and their respective distances from the centers b₁ = 0, b₂, b3,..., but don't bother with the calculational details (we'll save those for the next problem). Is the force always repulsive, or (as in Prob. 3.11) is there be a critical separation below which the two spheres attract?23

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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