A very long, uniformly charged cylinder has radius R and linear charge density λ. a. Find the cylinder's electric field strength outside the cylinder, r≥R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find the cylinder's electric field strength inside the cylinder, r≤R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.
A very long, uniformly charged cylinder has radius R and linear charge density λ. a. Find the cylinder's electric field strength outside the cylinder, r≥R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find the cylinder's electric field strength inside the cylinder, r≤R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 28PQ: A very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine...
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A very long, uniformly charged cylinder has radius R and linear charge density λ.
a.
Find the cylinder's electric field strength outside the cylinder, r≥R. Give your answer as a multiple of λ/ε0.
Express your answer in terms of some or all of the variables R, r, and the constant π.
b.
Find the cylinder's electric field strength inside the cylinder, r≤R. Give your answer as a multiple of λ/ε0.
Express your answer in terms of some or all of the variables R, r, and the constant π.
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