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

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Homework Help Overview

The discussion revolves around the behavior of a parallel plate capacitor, focusing on the effects of varying charge and distance between the plates when connected to a battery. Participants are examining specific statements regarding the forces and electric fields involved in this setup.

Discussion Character

  • Conceptual clarification, Assumption checking, Exploratory

Approaches and Questions Raised

  • Participants are evaluating the truth of several statements related to the forces and charges in a parallel plate capacitor. There are attempts to apply Coulomb's law and considerations of how charge varies with distance. Questions arise about the validity of assumptions regarding charge behavior when the switch is closed or open.

Discussion Status

The discussion is ongoing, with some participants expressing uncertainty about the correctness of their evaluations. Guidance is suggested regarding the inclusion of relevant equations and clarifications on the conditions under which certain laws apply. There is no explicit consensus on the truth values of the statements presented.

Contextual Notes

Participants note the importance of including all relevant equations in their attempts and question the assumptions made about charge behavior in different scenarios. The original poster's statements may lack clarity or completeness, prompting further exploration of the underlying principles.

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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