Calculating Charge Stored on Parallel Plates with Non-Conducting Water

In summary, the problem involves two parallel plates with an area of 4.67 cm2 and a separation of 3.93 mm, with purified non-conducting water between them. A voltage of 5.39 V is applied between the plates. Using the equation Q = CV, the charge stored on each plate is found to be 45.34 nC. However, this is incorrect because the area of the plates was incorrectly converted to meters.
  • #1
Tekmachine
7
0

Homework Statement


Two parallel plates, each of area 4.67 cm2, are separated by 3.93 mm
with purified non-conducting water between them. A voltage of 5.39 V
is applied between the plates.

Find the charge stored on each plate. Answer in units of nC.

Homework Equations



[tex]C = K\frac{(\varepsilon_{0}A)} {d}}[/tex]

[tex]Q = CV[/tex]

The Attempt at a Solution



Q = [ 5.39 * 80 * (8.85 * 10^-12) (4.67 * 10^-2) ] / (3.93 * 10^-3)

Q = 4.534 * 10^-8

When I convert that to nC I get 45.34 nC. What went wrong? =(

Also, sorry for the horrible formatting! I'm having database errors when trying to use too much LaTex.
 
Physics news on Phys.org
  • #2
Tekmachine said:
Two parallel plates, each of area 4.67 cm2 …

Q = [ 5.39 * 80 * (8.85 * 10^-12) (4.67 * 10^-2) ] / (3.93 * 10^-3)

Hi Tekmachine! :smile:

(no need to use LaTeX … just use the X2 and X2 tags above the Reply field. :wink:)

erm … 4.67 cm2 isn't (4.67 * 10^-2) m2. :smile:
 
  • #3
i feel so dumb, lol thanks!
 

Related to Calculating Charge Stored on Parallel Plates with Non-Conducting Water

1. What is charge stored on a plate?

Charge stored on a plate refers to the amount of electric charge that is accumulated on a surface, typically a conductive plate, due to the presence of excess electrons or lack of electrons (known as positive charge). This charge can be measured in units of Coulombs (C) or in terms of the voltage difference between the plate and its surroundings.

2. How is charge stored on a plate created?

Charge stored on a plate is created through a process called charging. This can occur in a variety of ways, such as through the flow of electric current, the separation of charges in a capacitor, or the transfer of electrons from one material to another. The amount of charge stored will depend on the properties of the plate and the charging method used.

3. What factors affect the amount of charge stored on a plate?

The amount of charge stored on a plate can be affected by several factors. These include the size and shape of the plate, the material it is made of, the voltage applied to the plate, and the distance between the plate and other charged objects. Additionally, the presence of insulating materials or other objects in the surrounding environment can also impact the amount of charge stored on a plate.

4. How can charge stored on a plate be measured?

The amount of charge stored on a plate can be measured using a device called an electrometer. This instrument can detect and measure the presence of electric charge and can provide a numerical value for the amount of charge stored on a plate. Other methods for measuring charge stored on a plate include using a voltmeter or calculating the charge based on the known properties of the plate and its surroundings.

5. How is charge stored on a plate used in practical applications?

Charge stored on a plate has many practical applications in various fields. Capacitors, which consist of two plates separated by an insulating material, are widely used in electronic devices to store and regulate electric charge. Charge stored on a plate is also used in technologies such as batteries, photovoltaic cells, and electrostatic generators. Additionally, the study of charge storage on plates has led to advancements in the understanding of electricity and has paved the way for numerous developments in modern technology.

Similar threads

I Thought I Understood Gauss' Law (Sheets)
    • Introductory Physics Homework Help
Replies
26
Views
696
Calculating Work to Charge Parallel Conducting Plates
    • Introductory Physics Homework Help
Replies
2
Views
810
Charge induced on parallel plates if a charge between plates
    • Introductory Physics Homework Help
Replies
7
Views
2K
Solving Charge Across Plates of a Capacitor w/ Negative Ions
    • Introductory Physics Homework Help
Replies
2
Views
2K
Charge distributions of two infinite parallel plates
    • Introductory Physics Homework Help
Replies
4
Views
2K
Charge density of capacitor plates
    • Introductory Physics Homework Help
Replies
16
Views
3K
Find the charge on the plates of a parallel-plate capacitor w/ dielectric
    • Introductory Physics Homework Help
Replies
3
Views
1K
How Does Closing Switches Affect Charge Stored in Parallel Plate Capacitors?
    • Introductory Physics Homework Help
Replies
12
Views
2K
Capacitance and Dielectrics in Parallel Plate Capacitors
    • Introductory Physics Homework Help
Replies
2
Views
1K
Increase in Charge on a Parallel Plate Capacitor
    • Introductory Physics Homework Help
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top