Electric Field Strength Inside Concentric Uniformly Charged Spheres

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SUMMARY

The discussion focuses on the electric field strength within concentric uniformly charged spheres, specifically analyzing two scenarios: a positively charged nonconducting thin-walled spherical shell inside a positively charged conducting sphere, and a positively charged conducting sphere within another positively charged conducting sphere. The key conclusion is that the electric field inside a conductor is zero, while outside it decreases with the square of the distance from the center (1/r²). Understanding these principles clarifies the behavior of electric fields in these configurations.

PREREQUISITES
  • Understanding of electric field concepts
  • Knowledge of Gauss's Law
  • Familiarity with the properties of conductors and insulators
  • Basic calculus for interpreting field strength equations
NEXT STEPS
  • Study Gauss's Law and its applications to spherical charge distributions
  • Learn about electric field calculations for nonconducting materials
  • Explore the concept of electric field lines and their significance
  • Investigate the behavior of electric fields in different geometries
USEFUL FOR

Students of electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric fields in charged spherical systems.

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Homework Statement



The graph in the figure shows the electric field strength (not the field lines) as a function of distance from the center for a pair of concentric uniformly charged spheres. Which of the following situations could the graph plausibly represent? (There may be more than one correct choice.)

A positively charged nonconducting thin-walled spherical shell inside of a positively charged conducting sphere.
A positively charged conducting sphere within another positively charged conducting sphere.

c18.5.jpg


Homework Equations





The Attempt at a Solution



Alright, so I know that the above two are the only plausible situations, but I'm just trying to understand exactly why.

For the second one, I think I understand. The electric field inside a conductor is 0, and outside, it falls off as 1/r^2. The start of the curve along 0 depicts the inside of the conductor, where the negative slope is depicting the space outside of the sphere before it reaches the walls of the sphere containing it? I'm a little confused there...(I hope I'm making some sense at least!)

For the first instance, I'm really confused. I honestly don't know how to conceptualize that one at all.

Any help would be great! Thanks!
 
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If you understand the second instance, you should understand the first. The electric field inside a spherical surface charge distribution is zero regardless of whether the surface is the skin of a conducting sphere or just a skin of some kind on which uniform charge has been pasted.
 

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