Below is a spherical shell (it's hollow but completely enclosed, like a balloon). There is an electric field that enters the shell on the right hand side as shown and continues through the shell. There is a charge enclosed by the shell with a charge of q (purple dot shown in second image). The green line outlines the same shell - but it is removed in the second image so that you can see the charge enclosed.The electric field is perpendicular to the widest point of the balloon horizontally. This is enough angle information to answer the question.Diameter = 1.10 mElectric Field = 51.0 N/CCharge Enclosed = 1.40 nCCalculate the electric flux through the surface of the entire closed shell due to the external electric field 51.0 N/C and the enclosed charge 1.40 nC. Your units should be Nm2/C. # Understanding the Influence of Electric Fields on Spherical Objects## Diagram OverviewIn the provided diagram, we examine a spherical object subjected to an external electric field. This setup is crucial for understanding electrostatics and the behavior of conductors in electric fields.### Features of the Diagram1. **Front View**: - The diagram shows the front view of a uniformly shaded sphere. - The annotation specifies the "Diameter" of the sphere.2. **Side View**: - The side view of the same sphere is displayed. - Three horizontal red arrows point towards the sphere from the left side, labeled "Electric Field." - These arrows indicate the direction of the electric field applied to the sphere.### Key Measurements1. **Diameter**: - The sphere has a diameter of 3.50 meters.2. **Electric Field Strength**: - The strength of the electric field acting on the sphere is 58.0 Newtons per Coulomb (N/C).### Detailed ExplanationIn electrostatic experiments, understanding how a uniform electric field interacts with conductive and non-conductive materials is essential. For instance, when a metal sphere, which is conductive, is placed in an electric field:- The free electrons within the metal redistribute themselves to counteract the imposed field.- This redistribution results in an induced charge separation within the sphere, creating an internal electric field that cancels the effect of the external field inside the sphere’s material.For non-conductive materials (dielectrics) subjected to an electric field:- Polarization occurs, where molecular dipoles align themselves with the field, diminishing the overall field within the material but not completely nullifying it.By examining spheres like the one shown, both in free space and surrounded by various materials, one can learn about electric fields' influence on object behavior, leading to applications in electrical engineering, physics, and material science.Understanding these fundamental concepts is pivotal for students and researchers exploring the field of electromagnetism.

Answered: Diameter Electric Field Side View Front…

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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Below is a spherical shell (it's hollow but completely enclosed, like a balloon). There is an electric field that enters the shell on the right hand side as shown and continues through the shell. There is a charge enclosed by the shell with a charge of q (purple dot shown in second image). The green line outlines the same shell - but it is removed in the second image so that you can see the charge enclosed.

The electric field is perpendicular to the widest point of the balloon horizontally. This is enough angle information to answer the question.

Diameter = 1.10 m

Electric Field = 51.0 N/C

Charge Enclosed = 1.40 nC

Calculate the electric flux through the surface of the entire closed shell due to the external electric field 51.0 N/C and the enclosed charge 1.40 nC. Your units should be Nm²/C.

# Understanding the Influence of Electric Fields on Spherical Objects

## Diagram Overview

In the provided diagram, we examine a spherical object subjected to an external electric field. This setup is crucial for understanding electrostatics and the behavior of conductors in electric fields.

### Features of the Diagram

1. **Front View**:
- The diagram shows the front view of a uniformly shaded sphere.
- The annotation specifies the "Diameter" of the sphere.

2. **Side View**:
- The side view of the same sphere is displayed.
- Three horizontal red arrows point towards the sphere from the left side, labeled "Electric Field."
- These arrows indicate the direction of the electric field applied to the sphere.

### Key Measurements

1. **Diameter**:
- The sphere has a diameter of 3.50 meters.

2. **Electric Field Strength**:
- The strength of the electric field acting on the sphere is 58.0 Newtons per Coulomb (N/C).

### Detailed Explanation

In electrostatic experiments, understanding how a uniform electric field interacts with conductive and non-conductive materials is essential. For instance, when a metal sphere, which is conductive, is placed in an electric field:

- The free electrons within the metal redistribute themselves to counteract the imposed field.
- This redistribution results in an induced charge separation within the sphere, creating an internal electric field that cancels the effect of the external field inside the sphere’s material.

For non-conductive materials (dielectrics) subjected to an electric field:

- Polarization occurs, where molecular dipoles align themselves with the field, diminishing the overall field within the material but not completely nullifying it.

By examining spheres like the one shown, both in free space and surrounded by various materials, one can learn about electric fields' influence on object behavior, leading to applications in electrical engineering, physics, and material science.

Understanding these fundamental concepts is pivotal for students and researchers exploring the field of electromagnetism.

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