What is the Electric Field in a Ball with a Positive Charge at R/2?

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SUMMARY

The discussion focuses on calculating the electric field at a distance of R/2 from a uniformly charged ball with a positive charge Q and radius R, while a positive point charge Q is located at R=2 on the X-axis. The correct formula for the electric field at this point is K*(1/18)*(Q/r^2), where K is Coulomb's constant. The initial attempts incorrectly applied the electric field equations, leading to confusion regarding the placement of charges and distances. Clarification of the problem's wording is essential for accurate calculations.

PREREQUISITES
  • Understanding of Coulomb's Law and electric field equations
  • Familiarity with concepts of uniform charge distribution
  • Knowledge of vector addition in electric fields
  • Basic calculus for integrating electric fields over volumes
NEXT STEPS
  • Review the derivation of electric fields from continuous charge distributions
  • Study the application of Gauss's Law in electrostatics
  • Learn about the superposition principle for electric fields
  • Explore the implications of charge placement on electric field strength
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This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those dealing with electric fields generated by charged objects.

dannee
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Homework Statement



Positive charge Q uniformly distributed in a ball with radius R, which is located at the beginning of X axis. Positive point charge Q is located on the X axis on R=2. what is the size of the electric field in R/2?


Homework Equations





The Attempt at a Solution



i've tried to use the equations of electric field, K*(Q/r^2), once put the distance of charge Q with R=3/2, adding it to the electric field of the ball on the point, which is K*(Q/a^3), as a=0.5R. but the correct answer is K*(1/18)*(Q/r^2). where do i go wrong?
 
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Are you sure that the problem says on the axis at R=2, not X=2R? The wording of the problem you put up is really bad, maybe you could post exactly what the problem you were given says.
 

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