Suppose you have q = 18µC charge placed at the orign of your coordinate system. I) Using Gauss's law, find the magnitude of the electric field at distance r1 8m from the charge. (Answer in N/c) II) Now you place a hollow conducting sphere of inner radius a = 4.0m and outer radius b = 16.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. (Answer in C) III) Now consider another hollow conducting sphere of inner radius c=24m and outer radius d=40m . Calculate the net enclosed charge(C) by the Gaussian surface of radius r2 = 20.0m and electric field(N/C) at r2.
Suppose you have q = 18µC charge placed at the orign of your coordinate system. I) Using Gauss's law, find the magnitude of the electric field at distance r1 8m from the charge. (Answer in N/c) II) Now you place a hollow conducting sphere of inner radius a = 4.0m and outer radius b = 16.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. (Answer in C) III) Now consider another hollow conducting sphere of inner radius c=24m and outer radius d=40m . Calculate the net enclosed charge(C) by the Gaussian surface of radius r2 = 20.0m and electric field(N/C) at r2.
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 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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Solve I, II & III
Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
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