Change in Kinetic Energy of a moving charge

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SUMMARY

The discussion focuses on calculating the change in kinetic energy (KE) of a -6.5 micro-Coulomb charge moving within a system of four other charges, each +5.5 micro-Coulombs and one -5.5 micro-Coulomb. The key equations utilized include Delta KE = -Delta EPE, EPE = qV, and V = Kq/r. Participants emphasize the importance of determining the voltage (V) produced by the surrounding charges and calculating the initial and final electric potential energy (EPE) to find the change in KE accurately.

PREREQUISITES
  • Understanding of electric potential energy (EPE) and its relation to kinetic energy (KE).
  • Familiarity with Coulomb's law and the concept of electric fields.
  • Knowledge of voltage calculation in a rectangular coordinate system.
  • Proficiency in using the Pythagorean theorem to determine distances (r) in two-dimensional space.
NEXT STEPS
  • Calculate the electric potential (V) at specific points using the formula V = Kq/r.
  • Determine the initial and final electric potential energy (EPE) for the -6.5 micro-Coulomb charge.
  • Apply the relationship Delta KE = -Delta EPE to find the change in kinetic energy.
  • Explore the implications of charge movement in electric fields and its effects on energy transformations.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving problems related to electric charges and energy transformations.

yankeekd25
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Homework Statement


A charge of +5.5 micro-Coulombs lies at x = -3.6 cm, y = 0 cm, a charge of +5.5 micro-Coulombs lies at x = +3.6 cm, y = 0 cm, a charge of +5.5 micro-Coulombs lies at x = 0 cm, y = +3.6 cm, and a charge of -5.5 micro-Coulombs lies at x = 0 cm, y = -3.6 cm. A charge of -6.5 micro-Coulombs moves from x = -3.6 cm, y = +3.6 cm to the x = -1.86 cm and y = +1.86 cm. What is the -6.5 micro-Coulomb charge's change in kinetic energy during this path? Answer in Joules.


Homework Equations


Delta KE= - delta EPE
EPE= q V
V= Kq/r


The Attempt at a Solution


I know I need to find the V that the four charges on the axis produce, but I'm not sure what to use for r, or what to do after that.
 
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Work in the rectangular coordinate system that you are given in the problem. The r values are just the hypoteneuses (sp?) of the x,y offsets for each charge. You are correct to calculate the PE initially and the PE finally to get the change in PE to then tell you the change in KE.
 
berkeman said:
Work in the rectangular coordinate system that you are given in the problem. The r values are just the hypoteneuses (sp?) of the x,y offsets for each charge. You are correct to calculate the PE initially and the PE finally to get the change in PE to then tell you the change in KE.

Ok based on what you told me, I've calculated the voltage within the rectangular system. I know that the new charge will be in that system, so how do I find the initial EPE and final EPE?
 

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