Using Gauss's Law to determine an electric field

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SUMMARY

This discussion focuses on applying Gauss's Law to determine electric fields in electrostatics. The key equation referenced is {\phi} = \int E dA = \frac{QL}{\epsilon_0}, which simplifies to E = \frac{Q}{2\pi r \epsilon_0}. Participants emphasize the importance of understanding Gauss's Law applications and suggest reviewing foundational concepts to effectively solve related problems. A resource link to HyperPhysics is provided for further study.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with electric field concepts
  • Basic calculus for integration
  • Knowledge of the permittivity of free space, ε₀
NEXT STEPS
  • Study the applications of Gauss's Law in different geometries
  • Learn how to derive electric field equations from Gauss's Law
  • Explore the HyperPhysics resource on Gauss's Law
  • Practice solving problems involving electric fields using Gauss's Law
USEFUL FOR

Students studying electrostatics, physics educators, and anyone looking to deepen their understanding of electric fields and Gauss's Law applications.

loba333
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Homework Statement


Gauss.jpg



Homework Equations



{\phi} = \int E dA = \frac{QL}{\epsilon_0}

The Attempt at a Solution


I'm aware of the definition of Gauss's law of electrostatics (however evidently I'm not very good at applying it), but I can't seem to fully answer the rest of the question.

An example in my book states the equation above and I've managed to simplify it to this state:

E = \frac{Q}{2\pi r \epsilon_0}

But I was wondering if this is the right route to go down, and if this is a correct equation, how I could use it to solve this problem.

Thanks in advance for any help, will be checking back sporadically.
 
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Looks good. You found the answer to (ii) in part (b). Do you know what the answer to (i) is?
 
answer to (i) (a) was given in your book or you know how to derive it?
 
Not quite sure how to derive it and I didn't even know I'd done the answer to part (ii) :X
 
Ok .. so you need to study applications of Gauss law

go here: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html"

just study basics of usage of Gauss law ... and yes also please your questions's derivation too.
and come back on this forum when you have understood it ...
we'll help you find answer to rest of questions.
 
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