Electric Field at a point inside 2 semi circles

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SUMMARY

The discussion focuses on calculating the electric field at a point located between two semi-circles with opposing charges: -3 micro Coulombs on the left and +3 micro Coulombs on the right, both with a radius of 0.2 meters. The key equation used is the electric field formula, E = ∫kdq/r², where k is Coulomb's constant. The principle of superposition is essential for solving the problem, as it involves calculating the electric field contributions from each semi-circle separately and then summing them. The conclusion is that the electric fields from the two semi-circles will cancel each other out at the midpoint, resulting in a net electric field of zero.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with the principle of superposition in electrostatics
  • Knowledge of calculus for evaluating integrals
  • Basic concepts of charge distribution in electrostatics
NEXT STEPS
  • Study the application of the superposition principle in electrostatics
  • Learn about electric field calculations for different charge distributions
  • Explore the concept of electric field lines and their significance
  • Review integral calculus techniques for evaluating electric field integrals
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding electric fields and charge interactions in a two-dimensional space.

A Shoto
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Homework Statement



I have this picture http://i.imgur.com/ek2N1dL.png
I have to find the electric field at the point inside 2 semi circles. The left semi circle has a charge of -3 micro Coulombs and the right one has +3 micro coulombs. The radius between the point and the circle is 0.2 meters.

Homework Equations



Electric field = ∫kdq/r2

The Attempt at a Solution



I know what the FBD looks like and how to solve a problem for one semi circle alone but adding that other piece is really throwing me off. What should I keep in mind when solving this?
 
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Use superposition. Find the field from each semicircle, then just add them up.
 
Well, I'm really doubting myself here. I would want to say 0... but wouldn't that be only if they were both positive or both negative...?
 

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