Work done on a charge by an electric field

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SUMMARY

The work done on a charge "q" of mass "m" by an electric field of magnitude "E" when moved a distance "d" is calculated using the formula W = qEd. This equation derives from the Lorentz force equation, where the force exerted by the electric field is F_e = qE. The mass of the charge is not required for this calculation, confirming that the work done is solely dependent on the charge, electric field strength, and distance moved.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with the Lorentz force equation
  • Basic calculus for evaluating integrals
  • Knowledge of work-energy principles in physics
NEXT STEPS
  • Study the derivation of the Lorentz force equation in electrostatics
  • Learn about the concept of electric potential energy
  • Explore applications of work done by electric fields in circuit analysis
  • Investigate the relationship between electric fields and magnetic fields in electromagnetism
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators and professionals involved in teaching or applying concepts related to electric fields and forces.

Juan Pablo
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Homework Statement



Find the work done a charge "q" of mass "m" by an electric field of magnitude "E" when it's moved a distance "d"



2. The attempt at a solution

W = \int_A^B F_e \cdot dr = F_e \int_A^B dr = F_e d = qEd

I used the Lorentz force equation for electrostatics at the end. I'm not sure if I did it correctly. I never used the mass given but I'm pretty sure I don't need it.
 
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