Answered: Imagine there are two nested spheres…

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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Question

Imagine there are two nested spheres made of different materials:

Inner sphere: Made of metal (conductor) with two shells. It has an inner radius of 0.5m, outer radius of 1.5m, and a total negative charge of -1C spread uniformly on its outer surface.
Outer sphere: Made of an insulator. It has an inner radius of 2.5m and outer radius of 3m. It carries a positive charge of +2C spread uniformly on its outer surface.

Inside these spheres, at the exact center, there's a tiny positive point charge of 0.001C.

The question asks:

a) How much charge is present on each surface (inner and outer) of the metal sphere? b) What is the electric field strength at different locations (inside and outside the spheres) as you move away from the center? The locations are divided into 5 zones: 1. Inside the inner metal shell (radius less than 0.5m) 2. Between the inner and outer metal shell (radius between 0.5m and 1.5m) 3. Between the metal and insulator shells (radius between 1.5m and 2.5m) 4. Between the inner and outer insulator shell (radius between 2.5m and 3m) 5. Outside both shells (radius greater than 3m) c) Can you draw a graph showing the electric field strength as you move away from the center (from 0 to 5 meters)?

mmm
fis
As
V₂
Vinsulating
sphere
→ conducting sphere
4₁ = 0.5
√₂
√3
ru
= 1.5
= 2.5
=3

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