Calculating Electric Field at Point A from Uniformly Charged Arc

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SUMMARY

The discussion focuses on calculating the electric field at Point A from a uniformly charged arc with linear charge density (λ). The primary equation used is E = ∫dq/r², where dq represents an infinitesimal charge element. Participants noted issues with determining the distance from the arc to Point A, particularly due to the lack of clarity regarding the arc's shape and Point A's exact location. Emphasis was placed on utilizing symmetry to simplify the calculation by eliminating the x-component of the electric field.

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  • Understanding of electric field concepts and calculations
  • Familiarity with calculus, specifically integration techniques
  • Knowledge of symmetry in physics problems
  • Ability to interpret geometric configurations in physics
NEXT STEPS
  • Review the principles of electric fields from charged objects
  • Study integration techniques for calculating electric fields
  • Learn about the application of symmetry in electrostatics
  • Explore geometric interpretations of electric field problems
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Students studying electromagnetism, physics educators, and anyone involved in solving electrostatic problems related to charged arcs.

martinbandung
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Homework Statement


Find electric field at Point A
its an arc with uniform density= lamda
view

https://drive.google.com/file/d/14cBqE2dMe_w0nb9LtPG0h1cUOrzGWt6g/view?usp=sharing
the problem

Homework Equations


E=intergal dq/r^2

The Attempt at a Solution


I've tried using wolfram and cosine rule to determine the distance from the arc to point A
but it give imaginary result
 
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It appears that your Google drive image doesn't have the proper permissions for me to view it, so I cannot comment yet. Can you post the formula which you typed into Wolfram?
 
Point A isn't well defined on your pic but it's apparently along the y axis. Neither is it clear whether the arc is a semicircler or other symmetrical arc. You obviouslly need to know the equation of the arc and where A really is located.

In any case, take advantage of symmetry to eliminate the x component of mirror points along the arc to get the Ey-axis E field. It's high school geometry.
 
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