Finding the charge density that produces a specific field

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SUMMARY

The discussion centers on applying Gauss's Law to determine the charge density that produces a specific electric field. The user initially assumed the charge density to be surface charge density due to the nature of Gauss's Law involving surface integration. However, they expressed uncertainty about their approach and whether they should consider using Gauss's Law in its differential form for a more accurate solution. The conversation emphasizes the importance of correctly identifying the type of charge density and the appropriate method for solving the problem.

PREREQUISITES
  • Understanding of Gauss's Law and its applications
  • Familiarity with electric fields and charge density concepts
  • Knowledge of surface charge density versus volume charge density
  • Basic calculus for integration and differential equations
NEXT STEPS
  • Study the differential form of Gauss's Law and its implications
  • Explore the differences between surface charge density and volume charge density
  • Practice problems involving electric fields generated by different charge distributions
  • Review integration techniques relevant to electrostatics
USEFUL FOR

Students in physics or engineering, particularly those studying electromagnetism, as well as educators seeking to clarify concepts related to electric fields and charge distributions.

Neolightdraco
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Homework Statement


IMG_20180322_172912_01.jpg
[/B]

Using Gauss law,
IMG_20180322_174031_01.jpg

Since there has been no mention of which type of charge density we have to find out I assumed it to be surface charge density since Gauss Law is in surface intergration , and I don't think there is any need to doing integration since the options given are results obtained without integration , I just can't get what's wrong

Is the problem in my choice of charge density or my method of solving it wrong?

Homework Equations

The Attempt at a Solution

 

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Have you tried Gauss's Law in differential form?
 
kuruman said:
Have you tried Gauss's Law in differential form?
No, I will try that
 

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