An insulator in the form of a square sheet with side length L has a charge of +3Q distributed uniformly on it. The blue Gaussian cylinder has a beight h and radius r and half of it is above the sheet. 1. Find the charge density on the sheet. 0. A 6 +3Q 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.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Gauss's Law Tutorial
Large sheet
For the charged sheet 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?
Problem 4.1 Flux through faces of a cube
E
Transcribed Image Text:Gauss's Law Tutorial Large sheet For the charged sheet 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? Problem 4.1 Flux through faces of a cube E
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.
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