Subpart A-C +P0.030 m0.050 m2. A nonconducting hollow sphere of inner radius 0.030 m and outer radius 0.050 m carries a positive volumecharge density p, as shown in the figure above. The charge density p of the sphere is given as a function of thedistance r from the center of the sphere, in meters, by the following.r< 0.030 m: p = 00.030 m 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 centerof the sphere.Er (m)0.0300.050

Part a The total charge enclosed is Q=∫ρ dV Substituting all the values into the equation we get,…

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.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 52P: Suppose Earth and the Moon each carried a net negative charge Q . Approximate both bodies as point...

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