Vector Differential Equations in Coulomb's Field Calculations

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SUMMARY

The discussion focuses on calculating the resultant electric field generated by two moving point charges in a Coulomb's field. The user successfully computed the field for fixed charges but encountered difficulties when extending the problem to include motion, leading to a vector differential equation involving the magnitude of the position vector and acceleration. The equation presented is (|S|)*(s") = [constant vector], where |S| represents the magnitude of the position vector and (s") denotes the acceleration vector. The user seeks assistance in deriving the equation for 'S' to further their calculations.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector calculus
  • Knowledge of differential equations
  • Basic concepts of motion in physics
NEXT STEPS
  • Study vector differential equations in physics
  • Learn about motion of charged particles in electric fields
  • Explore numerical methods for solving differential equations
  • Research the implications of moving charges on electric field calculations
USEFUL FOR

Physics students, electrical engineers, and anyone interested in advanced electromagnetism and vector calculus applications.

abluphoton
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Homework Statement



hi all... i was assigned in my class to do some basic coulomb's field calculation. considering 4 source charges calculating there resultant field anywhere in the space around them. i was able to do that... but later i tried to extend it by giving up the assumption that the source charges are fixed.

i considered 2 point charges and tried to calculate field around them with themselves in motion. i did it fairly well. until i got stuck at a point that seemed like a vector differential equation. will be glad if someone helps me out with this. thanks in advance.

Homework Equations



(|S|)*(s") = [constant vector]

(|S|) here is the magnitude of the position vector and (s") will be acceleration a vector.

The Attempt at a Solution



i haven been taught must about this kind of mathematics. I am now looking for an equation of 'S' :cool:
 
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im still waiting :(
 

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