Gauss' Law and a Gaussian Sphere

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SUMMARY

The discussion focuses on applying Gauss' Law to calculate the charge enclosed by a Gaussian Sphere with a radius of 1 meter, where the electric field at the surface is 1 N/C. Using the equation E = q/(4∏ε₀r²), the charge can be determined by rearranging the formula to q = E * 4∏ε₀r². The confusion regarding the charge inside a Gaussian sphere is clarified; it is not always zero, especially when an external electric field is present.

PREREQUISITES
  • Understanding of Gauss' Law
  • Familiarity with electric fields and their properties
  • Knowledge of the equation E = q/(4∏ε₀r²)
  • Concept of Gaussian surfaces in electrostatics
NEXT STEPS
  • Study the derivation and applications of Gauss' Law in electrostatics
  • Learn about electric field calculations for different charge distributions
  • Explore the concept of Gaussian surfaces in various geometries
  • Investigate the implications of electric fields within conductors
USEFUL FOR

Physics students, educators, and anyone interested in understanding electrostatics and the application of Gauss' Law in calculating electric fields and enclosed charges.

victorializ
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Homework Statement


A Gaussian Sphere with a radius of 1m surrounds an unknown charge at the center. At this surface a uniform outward directed electric field is 1 N/C. Use Gauss' Law to calculate the amount of charge enclosed by the sphere.

Homework Equations



E = q/4∏εor^2

The Attempt at a Solution



i've been reading about gauss' law in my physics book and i thought that the charge inside a gaussian sphere was always zero? or is that only for an electric field?
 
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victorializ said:

Homework Statement


A Gaussian Sphere with a radius of 1m surrounds an unknown charge at the center. At this surface a uniform outward directed electric field is 1 N/C. Use Gauss' Law to calculate the amount of charge enclosed by the sphere.


Homework Equations



E = q/4∏εor^2

The Attempt at a Solution



I've been reading about gauss' law in my physics book and i thought that the charge inside a Gaussian sphere was always zero? or is that only for an electric field?
The Electric Field (under static conditions) is zero within the conducting material of a conductor. A Gaussian surface is simply any closed surface over which it is convenient to apply Gauss's Law.
 

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