How Do You Calculate Electric Field Components for a Uniformly Charged Rod?

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SUMMARY

The discussion focuses on calculating the electric field components produced by a uniformly charged rod along the positive y-axis, specifically between y = 0 and y = a. Participants suggest starting with simpler scenarios, such as calculating the electric field at a point on the positive x-axis due to two point charges of magnitude Q/2 located at (0, 0) and (0, a). The conversation emphasizes the importance of integration techniques to derive the electric field components and encourages breaking down the problem into manageable parts, such as considering multiple point charges.

PREREQUISITES
  • Understanding of electric field concepts and vector components
  • Familiarity with integration techniques in calculus
  • Knowledge of point charge behavior in electrostatics
  • Basic principles of superposition in electric fields
NEXT STEPS
  • Study the method of calculating electric fields from continuous charge distributions
  • Learn about the principle of superposition for electric fields
  • Explore integration techniques for electric field calculations
  • Investigate the effects of varying charge distributions on electric field components
USEFUL FOR

Students in physics, particularly those studying electromagnetism, educators teaching electric field concepts, and anyone interested in solving problems related to electric fields from charge distributions.

jason177
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Homework Statement


Positive charge Q is distributed uniformly along the positive y-axis between y = 0 and y = a.
Calculate the x- and y-components of the electric field produced by the charge distribution Q at points on the positive x-axis.


The Attempt at a Solution


I tried integrating but I am unsure of what i should be integrating with respect to what, so i don't necessarily need the answers but if someone could point me in the right direction I would really appreciate it.
 
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Let's first look at a somewhat simpler situation.
Suppose you have a point charge Q/2 at (0, 0), and a point charge Q/2 at (0, a).
Can you calculate (both components of) the electric field at (x, 0) when x > 0?

Once you solved that, can you do it for n point charges of magnitude Q/n, at positions (0, 0), (0, a/n), (0, 2a/n), ... (0, a) ?
 
Alright i got it, thank you very much
 

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