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3. A particle with an unknown amount of positive charge is placed at the center of an evacuated, metal, spherical shell. A cross-sectional view is shown in the diagram below. Separate from this, the shell is charged with -8.0 nC. The equation for the electric field at a radius r > bis +108 N/C. Use 9.0 x 109 for Coulomb's constant. a. Apply Gauss' Law for the electric field for r> b. Then, determine the charge on the particle. Give a number for an answer. Don't forget units. b. How is the -8.0 nC distributed on the inner and outer surfaces of the metal shell? What is the magnitude of the electric field for a

3. A particle with an unknown amount of positive charge is placed at the center of an evacuated, metal, spherical shell. A cross-sectional view is shown in the diagram below. Separate from this, the shell is charged with -8.0 nC. The equation for the electric field at a radius r > bis +108 N/C. Use 9.0 x 109 for Coulomb's constant. a. Apply Gauss' Law for the electric field for r> b. Then, determine the charge on the particle. Give a number for an answer. Don't forget units. b. How is the -8.0 nC distributed on the inner and outer surfaces of the metal shell? What is the magnitude of the electric field for a

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Problem Statement 3. A particle with an unknown amount of positive charge is placed at the center of an evacuated, metal, spherical shell. A cross-sectional view is shown in the diagram below. Separate from this, the shell is charged with -8.0 nC. The equation for the electric field at a radius \( r > b \) is \[ +\frac{108}{r^2} \, \text{N/C}. \] Use \( 9.0 \times 10^9 \) for Coulomb’s constant. **Tasks:** a. Apply Gauss’ Law for the electric field for \( r > b \). Then, determine the charge on the particle. Give a number for an answer. Don't forget units. b. How is the -8.0 nC distributed on the inner and outer surfaces of the metal shell? c. What is the magnitude of the electric field for \( a < r < b \)? Explain your answer by again using Gauss’ Law. ### Diagram Explanation The diagram shows a cross-sectional view of a spherical shell with radius \( a \). The metal shell has an outer radius \( b \), and there is a positively charged particle at the center of the shell. The shaded region indicates the material of the shell.
Transcribed Image Text:### Problem Statement 3. A particle with an unknown amount of positive charge is placed at the center of an evacuated, metal, spherical shell. A cross-sectional view is shown in the diagram below. Separate from this, the shell is charged with -8.0 nC. The equation for the electric field at a radius \( r > b \) is \[ +\frac{108}{r^2} \, \text{N/C}. \] Use \( 9.0 \times 10^9 \) for Coulomb’s constant. **Tasks:** a. Apply Gauss’ Law for the electric field for \( r > b \). Then, determine the charge on the particle. Give a number for an answer. Don't forget units. b. How is the -8.0 nC distributed on the inner and outer surfaces of the metal shell? c. What is the magnitude of the electric field for \( a < r < b \)? Explain your answer by again using Gauss’ Law. ### Diagram Explanation The diagram shows a cross-sectional view of a spherical shell with radius \( a \). The metal shell has an outer radius \( b \), and there is a positively charged particle at the center of the shell. The shaded region indicates the material of the shell.
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