Six identical charges in hexagonal setup problem

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SUMMARY

The discussion centers on solving a physics problem involving six identical charges arranged in a hexagonal configuration. The key equation referenced is ET=Σ6n=1En, which sums the electric fields produced by each charge. The user seeks assistance in identifying a mistake in their calculations, particularly in part (b) of their solution, and clarifies the importance of correctly accounting for the orientation and contribution of all six charges in the setup.

PREREQUISITES
  • Understanding of electric field concepts in electrostatics
  • Familiarity with vector addition of forces
  • Basic knowledge of hexagonal geometry
  • Proficiency in using LaTeX for mathematical expressions
NEXT STEPS
  • Review the principles of superposition in electric fields
  • Study vector addition techniques for multiple point charges
  • Learn how to properly visualize and represent hexagonal charge arrangements
  • Practice using LaTeX for formatting physics equations
USEFUL FOR

Students studying electrostatics, physics educators, and anyone involved in solving complex charge distribution problems in a hexagonal setup.

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Homework Statement


Attached the original script. Sorry but I don't know how to type in latex so its easier to attach photos.
Screen Shot 2017-02-12 at 16.45.54.png


Homework Equations


ET6n=1En

The Attempt at a Solution


I attached what I was able to do, I know there is a mistake is in part (b) that I can't locate and any help or guidance would be appreciated .
IMG_3254.JPG
 
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The orientation of the image looks wrong.

How do you take into account that there are 6 charges in (b)?
 

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