Need help with gauss law and charged ring AP Physics FRQ

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SUMMARY

This discussion focuses on applying Gauss's Law to problems involving charged rings in AP Physics. Key equations include ∫E.dA = Qenc/ε₀, λ = Q/L, and V = q/4πε₀r. The distinction between insulators and conductors is crucial, particularly for regions where the radius is less than the radius of the charged object (r < R). Understanding these differences is essential for accurately solving related problems.

PREREQUISITES
  • Understanding of Gauss's Law and its mathematical formulation
  • Familiarity with electric field concepts and charge distributions
  • Knowledge of the properties of conductors and insulators
  • Basic proficiency in calculus for integrating electric fields
NEXT STEPS
  • Study the application of Gauss's Law in various symmetrical charge distributions
  • Learn about the differences in electric fields produced by conductors versus insulators
  • Explore advanced problems involving electric fields and potential in AP Physics
  • Review scoring guidelines for AP Physics free-response questions for better exam preparation
USEFUL FOR

AP Physics students, educators teaching electromagnetism, and anyone preparing for the AP Physics exam who seeks to deepen their understanding of electric fields and charge interactions.

lodovico
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Homework Statement


1.
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2.
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Homework Equations


∫E.dA = Qenc/\epsilon_{o}
\lambda=Q/L
\rho=Q/V
V= q/4πε_{o}r

The Attempt at a Solution



these types of problems i suck at, i don't know how to do these at all independently, and is there any difference in question 2 if there is an insulator or not? is that irrelevant?

I have the scoring guidelines with the answers but they don't really teach anything
 
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lodovico said:
, and is there any difference in question 2 if there is an insulator or not? is that irrelevant?



This is a simple exercise in applying Gauss's theorem.

To answer your question, yes it matters if the inside sphere is an insulator or a conductor. It matters for r < R.
 

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