Large sheetAn insulator in the form of a square sheet with side length L has a charge of +32 distributeduniformly on it. The blue Gaussian cylinder has a height h and radius r and half of it is above thesheet.1. Find the charge density on the sheet.+3Q2²8.A6W2. Find the amount of charge enclosed in Gaussian cylinder of radii r = 0, r= R/2, r = 2R, andT = 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 TutorialHollow cylinderFor the charged hollow cylinder in the previous section,1. Explain why the electric field satisfies the constraints of the equation:PenelEA=2. What is the electric field at all distances from its center line?(1)Spherical shellFor 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 uniformlycharged line. Are there any restrictions on the equation that you found in your answer to part 2?

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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.

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)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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.

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?

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