An insulator in the form of a square sheet with side length L has a charge of +3Q distribute uniformly on it. The blue Gaussian cylinder has a height h and radius r and half of it is above the sheet. 1. Find the charge density on the sheet. -30 2² 2. Find the amount of charge enclosed in Gaussian cylinder of radii r = 0, r-R/2, r= 2R, and r=4R. 3. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder.

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)...
icon
Related questions
Question
Large sheet
An insulator in the form of a square sheet with side length L has a charge of +32 distributed
uniformly on it. The blue Gaussian cylinder has a height h and radius r and half of it is above the
sheet.
1. Find the charge density on the sheet.
+3Q
2²
8.
A
6
W
2. Find the amount of charge enclosed in Gaussian cylinder of radii r = 0, r= R/2, r = 2R, and
T = 4R.
3. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder.
4. Find an equation that relates Qend and r for r < R. Plot this equation on the graph above.
5. Find an equation that relates Qend and r for r> R. Plot this equation on the graph above.
Transcribed Image Text:Large sheet An insulator in the form of a square sheet with side length L has a charge of +32 distributed uniformly on it. The blue Gaussian cylinder has a height h and radius r and half of it is above the sheet. 1. Find the charge density on the sheet. +3Q 2² 8. A 6 W 2. Find the amount of charge enclosed in Gaussian cylinder of radii r = 0, r= R/2, r = 2R, and T = 4R. 3. Plot the four values of enclosed charge calculated above versus the radius of the Gaussian cylinder. 4. Find an equation that relates Qend and r for r < R. Plot this equation on the graph above. 5. Find an equation that relates Qend and r for r> R. Plot this equation on the graph above.
Gauss's Law Tutorial
Hollow cylinder
For the charged hollow cylinder in the previous section,
1. Explain why the electric field satisfies the constraints of the equation:
Penel
EA=
2. What is the electric field at all distances from its center line?
(1)
Spherical shell
For the charged spherical shell in the previous section,
1. Explain why the electric field satisfies the constraints of Equation 1.
2. What is the electric field at all distances from its center?
3. The equation for the electric field for a line of charge is valid near the center of a long uniformly
charged line. Are there any restrictions on the equation that you found in your answer to part 2?
Transcribed Image Text:Gauss's Law Tutorial Hollow cylinder For the charged hollow cylinder in the previous section, 1. Explain why the electric field satisfies the constraints of the equation: Penel EA= 2. What is the electric field at all distances from its center line? (1) Spherical shell For the charged spherical shell in the previous section, 1. Explain why the electric field satisfies the constraints of Equation 1. 2. What is the electric field at all distances from its center? 3. The equation for the electric field for a line of charge is valid near the center of a long uniformly charged line. Are there any restrictions on the equation that you found in your answer to part 2?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Electric field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON