Electric fields- the force exerted on a given charge

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SUMMARY

The discussion clarifies the differences between the equations for force in electric fields: F=E/Q for a uniform electric field and F=EQ for the electric field between oppositely charged plates. The confusion arises from the assumption that both scenarios are identical, while the geometry of charge distribution in parallel plate capacitors leads to a uniform electric field. The Lorentz force equation, F=qE, is established as a general relation, emphasizing the need to consider spatial variations in electric fields in more complex charge distributions, as described by Coulomb's Law.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with Coulomb's Law
  • Knowledge of the Lorentz force equation
  • Basic concepts of parallel plate capacitors
NEXT STEPS
  • Study the derivation of Coulomb's Law
  • Explore the principles of electric fields in parallel plate capacitors
  • Learn about spatial variations in electric fields
  • Investigate the applications of the Lorentz force in different contexts
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding the principles of electric fields and forces in electrostatics.

leah3000
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why is there a different equation for force in a uniformed electric field F=E/Q as opposed to the electric field between a pair of oppositely charged plates F=EQ ?

I thought it would be the same as the field between a pair of oppositely charged plates are also relatively uniformed, in the centre that is.

also how is the equation F=E/Q when E=F/Q ?:confused:
 
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F=qE, in the absence of a magnetic field, as given by the Lorentz force equation.
 
F = qE is a general relation. In a parallel plate capacitor E is relatively uniform due to the geometry of charge distribution, so F is uniform.

In a more general situation one must examine how the E field varies in space due to charge distribution in the local region, there E varies in space and F varies too. See Coulomb's Law or a reference on electrostatic fields.
 

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