Understanding the Behavior of a Parallel Plate Capacitor: True or False?

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SUMMARY

The discussion focuses on the behavior of a parallel plate capacitor, specifically analyzing the forces and charges involved when connected to a battery. Key points include the force on plate 1 being calculated as F = Q²/(4πε0d²), the charge on the plates being Q = ε0AV/d when the switch is closed, and the electric field at plate 1 being V/(2d). The participants concluded that the force between the plates varies inversely with distance d when the switch is open, while the charge can change when the switch is closed.

PREREQUISITES
  • Coulomb's Law for electric forces
  • Understanding of electric fields in capacitors
  • Basic principles of capacitor charging and discharging
  • Knowledge of parallel plate capacitor equations
NEXT STEPS
  • Study the derivation of the electric field between parallel plates
  • Learn about the implications of varying plate separation on capacitance
  • Explore the relationship between charge, voltage, and capacitance in capacitors
  • Investigate the effects of dielectric materials on parallel plate capacitors
USEFUL FOR

Students of physics, electrical engineers, and anyone studying capacitor behavior in circuits will benefit from this discussion.

Physics197
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Homework Statement



The diagram shows a parallel plate capacitor with plate area A and spacing d. The capacitor can be connected to a battery of potential difference V by closing the switch. Assume d² << A.

1. The force on plate 1 due to plate 2 is F = Q²/(4πε0d²) î, where Q is the charge on plate
2.If the switch is closed and d is varied, the charge on the plates varies.
3. If the capacitor is initially uncharged and then the switch is closed, a charge −Q = ε0AV/d appears on plate 1.
4. The force between the plates varies as 1/d if the switch is open.
5. If the switch is closed, the electric field at plate 1, due to plate 2, is V/(2d) î

Select true or false.

Homework Equations





The Attempt at a Solution



1. True - from coulombs law (charges will be the same on either plate)
2. i think false, can the charges be changed..
3. true (unless if that plate should be positivly charged)
4. false - coulombs law
5. false, could be true, but can't find an equation that tells me that
 
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Last edited by a moderator:
anyone..
 
Physics197 said:
anyone..

You'll probably get better responses if you include all relevant equations in your attempt at a solution. For example, you mentioned "coulomb's law" in a couple of your attempted answers. But Coulomb's law, as it is generally written, applies to point charges. What is the corresponding equation for parallel plates? Things like that might help. Sometimes, explanations may be in order -- for example, which things in a given equation are held constant when the switch is open, and which things are held constant when the switch is closed.
 

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