Hello, I understand that to calculate the net charge in the shell, I need to integrate the equation from 4 cm to 6 cm with volume charge density times 2 * pi * r * dr. However, since the problem here provides me with a novel expression of p = b/r, I am a bit lost... Could you please tell me how I can solve such problem? A nonconducting spherical shell, with an inner radius of 4 cm and an outer radius of 6 cm,has charge spread nonuniformly through its volume between its inner and outer surfaces.The volume charge density p is the charge per unit volume, with the unit coulomb percubic meter. For this shell p = b/r, where r is the distance in meters from the center of theshell and b = 3 µC/m?. What is the net charge in the shell?

Draw the figure representing the non-conducting shell and an elementary thin imaginary shell.

Answered: A nonconducting spherical shell, with…

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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Hello,

I understand that to calculate the net charge in the shell, I need to integrate the equation from 4 cm to 6 cm with volume charge density times 2 * pi * r * dr. However, since the problem here provides me with a novel expression of p = b/r, I am a bit lost... Could you please tell me how I can solve such problem?

A nonconducting spherical shell, with an inner radius of 4 cm and an outer radius of 6 cm,
has charge spread nonuniformly through its volume between its inner and outer surfaces.
The volume charge density p is the charge per unit volume, with the unit coulomb per
cubic meter. For this shell p = b/r, where r is the distance in meters from the center of the
shell and b = 3 µC/m?. What is the net charge in the shell?

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