Gauss Law. Please use the formula I added. 3. A Gaussian surface is a closed surface in three-dimensional space through whichthe electric flux is calculated. Given a spherical Gaussian surface that has aradius of 0.5 meters and encloses 30 electrons.A. Find the value of the electric flux through this surfaceB. From the calculated value of the electric flux, determine the value of theelectric field at a distance equal to 0.6 meters from the center of the surface. Gauss' Law describes the relationship between a charge distribution and the electric field it produces. This law wasformulated by the Geman mathematician and physicist Carl Friedrich Gauss (1777-1855). In presenting Gauss' law,it will be necessary to introduce a new idea called electric flux. The idea of flux involves both the electric field andthe surface through which it passes. By bringing together the electric field and the surface through which it passes,we will be able to define electric flux and then present Gauss' law.> E= where k=-> Hypothetical closed surface, Gaussian surface> For a spherical surface, A= 4r?, E= -permittivity if free space4Cor2NormalE=E cos4R€Or2€04ar2Gauss' Law for Point ChargeE=A€0A> E= 4EA= 4Electric flux DEA€0In general, surface - arbitrary shape but closed; EnetaNot necessarily I to the Gaussian surface; magnitudeNeed not be constant (vary from point to point)ChargedistributionDE = I (Enats-) AA= E (E cosØ) AAGaussiansurface

Answered: Image /qna-images/answer/8cd02621-4419-49ab-bef2-e9778f6e6c3b.jpg

3. A Gaussian surface is a closed surface in three-dimensional space through which the electric flux is calculated. Given a spherical Gaussian surface that has a radius of 0.5 meters and encloses 30 electrons. A. Find the value of the electric flux through this surface B. From the calculated value of the electric flux, determine the value of the electric field at a distance equal to 0.6 meters from the center of the surface.

3. A Gaussian surface is a closed surface in three-dimensional space through which the electric flux is calculated. Given a spherical Gaussian surface that has a radius of 0.5 meters and encloses 30 electrons. A. Find the value of the electric flux through this surface B. From the calculated value of the electric flux, determine the value of the electric field at a distance equal to 0.6 meters from the center of the surface.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 28PQ: The electric field at a point on the perpendicular bisector of a charged rod was calculated as the...

See similar textbooks

Similar questions

(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
Consider the charge distribution shown in Figure P19.74. (a) Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18 keq/s2. (b) What is the direction of the electric field at the center of the top face of the cube?
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?
The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.
In which of the following contexts can Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
Part 1: What is the magnitude of the net electric fieldat the position of the charge at the origin?Answer in units of N/C. Part 2: What is the direction of the net electric field(as an angle between −180◦and +180◦ measured from the positive x-axis, with counterclockwise positive).Answer in units of ◦.
PartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q at point p, is (1545.0) i + (328.0) } Electric field due to q3 at point pi is (4738.0) i +(-15794.0) } Electric field due to q at point p, is (–1614.0) i + (-4842.0) } Electric field due to 2 at point p, is (-3045.0) i + (-2343.0) Electric field due to q3 at point p, is (132289.0) i + (-99216.0) j c) Find the net Electric field at p1. x component of the vector Give your answer up to at least three significance digits. N/C y component of the vector Give your answer up to at least three significance digits. Activate Go to Setti N/C
A net charge is placed onto a spherical conductor. Which of the following best describes the symmetry of the charge distribution, and therefore the resulting electric field?