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)?
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)?
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter20: Static Electricity
Section: Chapter Questions
Problem 26A
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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)?
Transcribed Image Text:mmm
fis
As
V₂
Vinsulating
sphere
→ conducting sphere
4₁ = 0.5
√₂
√3
ru
= 1.5
= 2.5
=3
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Step 1: Determine the given data:
VIEWStep 2: a) Find the charge present on each surface (inner and outer) of the metal sphere:
VIEWStep 3: b) Find the electric field strength at different location:
VIEWStep 4: Find the electric field for r>r2:
VIEWStep 5: Find the electric field for r3<r<r4:
VIEWStep 6: Find the electric field for r>r4:
VIEWStep 7: Draw the graph of electric field:
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