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2. A nonconducting hollow sphere of inner radius 0.030 m and outer radius 0.050 m carries a positive volume charge density p, as shown in the figure above. The charge density p of the sphere is given as a function of the distance r from the center of the sphere, in meters, by the following. r<0.030 m: p = 0 0.030 m < r< 0.050 m: p = b/r , where b= 1.6× 10º C/m² r> 0.050 m: p = 0 (a) Calculate the total charge of the sphere. (b) Using Gauss's law, calculate the magnitude of the electric field E at the outer surface of the sphere. (c) On the axes below, sketch the magnitude of the electric field E as a function of distance r from the center of the sphere.

2. A nonconducting hollow sphere of inner radius 0.030 m and outer radius 0.050 m carries a positive volume charge density p, as shown in the figure above. The charge density p of the sphere is given as a function of the distance r from the center of the sphere, in meters, by the following. r<0.030 m: p = 0 0.030 m < r< 0.050 m: p = b/r , where b= 1.6× 10º C/m² r> 0.050 m: p = 0 (a) Calculate the total charge of the sphere. (b) Using Gauss's law, calculate the magnitude of the electric field E at the outer surface of the sphere. (c) On the axes below, sketch the magnitude of the electric field E as a function of distance r from the center of the sphere.

College Physics
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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+P 0.030 m 0.050 m 2. A nonconducting hollow sphere of inner radius 0.030 m and outer radius 0.050 m carries a positive volume charge density p, as shown in the figure above. The charge density p of the sphere is given as a function of the distance r from the center of the sphere, in meters, by the following. r< 0.030 m: p = 0 0.030 m <r< 0.050 m: p = b/r, where b = 1.6 × 10 C/m? r>0.050 m: p = 0 (a) Calculate the total charge of the sphere. (b) Using Gauss's law, calculate the magnitude of the electric field E at the outer surface of the sphere. (c) On the axes below, sketch the magnitude of the electric field E as a function of distance r from the center of the sphere. E r (m) 0.030 0.050
Transcribed Image Text:+P 0.030 m 0.050 m 2. A nonconducting hollow sphere of inner radius 0.030 m and outer radius 0.050 m carries a positive volume charge density p, as shown in the figure above. The charge density p of the sphere is given as a function of the distance r from the center of the sphere, in meters, by the following. r< 0.030 m: p = 0 0.030 m <r< 0.050 m: p = b/r, where b = 1.6 × 10 C/m? r>0.050 m: p = 0 (a) Calculate the total charge of the sphere. (b) Using Gauss's law, calculate the magnitude of the electric field E at the outer surface of the sphere. (c) On the axes below, sketch the magnitude of the electric field E as a function of distance r from the center of the sphere. E r (m) 0.030 0.050
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