What is the net charge contained within this cube?

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SUMMARY

The discussion focuses on calculating the net charge contained within a cube subjected to an electric field, as well as determining electric fields around charged cylinders and spheres. The specific scenario involves a non-conducting cylinder with a uniform volume charge density of ρ = 2.1 µC/m³ and a cube with electric fields of E = -34 N/C and E = +19 N/C on its respective surfaces. Participants express confusion over the application of Gauss' Law and the relevant equations needed to solve these problems, indicating a lack of clarity in the instructional material provided.

PREREQUISITES
  • Understanding of Gauss' Law and its application to symmetric charge distributions.
  • Familiarity with electric field calculations for charged objects, including cylinders and spheres.
  • Knowledge of charge density concepts and units, specifically µC/m³.
  • Basic proficiency in vector mathematics as it applies to electric fields.
NEXT STEPS
  • Study the application of Gauss' Law to various charge distributions, focusing on cylindrical and spherical geometries.
  • Review electric field calculations for non-conducting materials and their implications on surrounding charges.
  • Practice problems involving electric fields at different radial distances from charged objects.
  • Explore the relationship between charge density and electric field strength in conductive and non-conductive materials.
USEFUL FOR

Students in physics courses, educators seeking to clarify concepts of electric fields and charge distributions, and anyone preparing for exams involving electrostatics and Gauss' Law.

GLRult
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Weve been working as a group on campus now for a few hours and we're lost on these 3. Our teacher did a horrible job explaining this material and the book doesn't do any better of one.

A long, non-conducting, solid cylinder of radius 4.7 cm has a uniform volume charge density ρ = 2.1 µC/m^3.
a) What is the magnitude of the electric field at a radial distance of 6.5 cm from the axis of the cylinder?
1Your answer is incorrect. N/C
b) What is the magnitude of the electric field at a radial distance of 2.8 cm from the axis of the cylinder?
2Your answer is incorrect. N/C

Particle A proton with speed v = 3.00 multiplied by 105 m/s orbits just outside a charged sphere of radius r = 1.04 cm. What is the charge on the sphere?
1Your answer is incorrect. C

Concentric Spheres Two charged concentric spheres have radii of 9.5 and 14.7 cm. The charge on the inner sphere is 3.98 multiplied by 10-8 C and that on the outer sphere is 2.00 multiplied by 10-8 C.

(a) Find the electric field at r = 11.7 cm.
1Your answer is incorrect. N/C
(b) Find the electric field at r = 20.4 cm.
2Your answer is incorrect. N/C


Section 24.6 Application of Gauss' Law to Symmetric Charge Distributions

Surface of Cube At each point on the surface of the cube shown in Fig. 24-25, the electric field is in the positive direction of z. The length of each edge of the cube is 3.2 m. On the top surface of the cube, Evec = (-34 N/C)k, and on the bottom face of the cube Evec = (+19 N/C)k . Determine the net charge contained within the cube.
1Your answer is incorrect. C
 
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