Finding the magnitude of the eletric field of a uniformly charged rod.

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SUMMARY

The discussion focuses on calculating the electric field magnitude along the axis of a uniformly charged rod, specifically a 13.1 cm long rod with a total charge of -23.2 micro coulombs. The Coulomb constant used is 8.98755e9 N M^2/C^2. Participants emphasize the importance of determining the linear charge density (λ) and integrating the contributions from differential charge elements (dq) along the rod's length to find the total electric field at a specified point 52.1575 cm from the center of the rod.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Knowledge of integration techniques in calculus
  • Familiarity with linear charge density concepts
  • Basic principles of electrostatics
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  • Study the concept of linear charge density (λ) in electrostatics
  • Learn how to perform integration for electric field calculations
  • Explore the application of Coulomb's law in continuous charge distributions
  • Investigate the effects of varying charge distributions on electric fields
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Students studying physics, particularly those focusing on electromagnetism, as well as educators and anyone interested in solving problems related to electric fields and charge distributions.

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Homework Statement


"A rod of 13.1 cm long is uniformly charged and has a total charge of -23.2 micro coulombs. Determine the magnitude of the electric field along the axis of the rod at a point 52.1575 cm from the center of the rod. The Coulomb constant is 8.98755e9 N M^2/C^2. Answer in units of N/C"
I'm lost on how to go about solving this. I've tried just doing E=KQ/R^2 with R being 52.1575 cm and I tried E= KQ/(R^2+X^2)^2/3 with X= 52.1575 and R=13.1 but that's wrong to
 
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Total charge on the rod is given. Length of the rod L is given. Find the linear charge density λ.Take a small element dx of the rod at a distance x from the center. Charge on this element dq = λ*dx. Let its distance from the point where the electric field is required is (d - x) where d is the distance of the point from he center.
Field due to dq at P is
dE = k*λ*dx/(d-x)^2. Find the integration between the limits x = +L/2 to -L/2
 

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