Consider an infinite number of identical particles, each with charge q, placed along the x axis at distances a, 2a, 3a, 4a, . . . from the origin. What is the electric field at the origin due to this distribution? Suggestion: Use 1 + (1)/(22) + (1)/(32) + (1)/(42) + . . . = (π2)/(6)
Consider an infinite number of identical particles, each with charge q, placed along the x axis at distances a, 2a, 3a, 4a, . . . from the origin. What is the electric field at the origin due to this distribution? Suggestion: Use 1 + (1)/(22) + (1)/(32) + (1)/(42) + . . . = (π2)/(6)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...
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Consider an infinite number of identical particles, each with charge q, placed along the x axis at distances a, 2a, 3a, 4a, . . . from the origin. What is the electric field at the origin due to this distribution? Suggestion: Use
1 + (1)/(22) + (1)/(32) + (1)/(42) + . . . = (π2)/(6)
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