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

In summary, the conversation discusses a parallel plate capacitor with plate area A and spacing d, connected to a battery with potential difference V. It is assumed that d² << A. The force on plate 1 due to plate 2 is F = Q²/(4πε0d²) î, where Q is the charge on plate. If the switch is closed and d is varied, the charge on the plates also varies. If the capacitor is initially uncharged and the switch is closed, a charge -Q = ε0AV/d appears on plate 1. The force between the plates varies as 1/d if the switch is open. If the switch is closed, the electric field at plate 1, due to plate
  • #1
Physics197
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0

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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  • #2
http://f.imagehost.org/view/0778/plates
 
Last edited by a moderator:
  • #3
anyone..
 
  • #4
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.
 

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

1. What is a parallel plate capacitor?

A parallel plate capacitor is a simple electronic device consisting of two conductive plates separated by a dielectric material. It is used to store electrical energy by creating an electric field between the plates.

2. How does a parallel plate capacitor work?

A parallel plate capacitor works by storing electrical charge on the two plates, which are connected to a power source. The charge creates an electric field between the plates, which causes the plates to have opposite charges. The greater the charge and the closer the plates are together, the stronger the electric field.

3. What factors affect the capacitance of a parallel plate capacitor?

The capacitance of a parallel plate capacitor is affected by three main factors: the distance between the plates, the surface area of the plates, and the type of dielectric material between the plates. As the distance between the plates decreases and the surface area increases, the capacitance increases. Different types of dielectric materials have different permittivity, which also affects the capacitance.

4. How is the capacitance of a parallel plate capacitor calculated?

The capacitance of a parallel plate capacitor can be calculated using the following formula: C = εA/d, where C is the capacitance, ε is the permittivity of the dielectric material, A is the surface area of the plates, and d is the distance between the plates. The unit of capacitance is farad (F).

5. What are some common applications of parallel plate capacitors?

Parallel plate capacitors are commonly used in electronic devices such as computers, televisions, and mobile phones to store electrical charge. They are also used in power factor correction, energy storage, and filtering circuits. In addition, parallel plate capacitors are used in high voltage applications, such as in power transmission systems, to regulate and stabilize the voltage.

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