What is the equation for calculating electric field strength between two plates?

In summary, the conversation discusses finding the electric field strength between two plates with known charges and area, using the equation for electrical field strength. The question arises about whether to use the difference of the charges or just one of the charges, and the conversation clarifies that the latter is correct. It also mentions the equation for the field from a single sheet of charge.
  • #1
ntk
5
0

Homework Statement



Two plates each have an area of 80cm2 and are placed facing one another in a vacuum. If the top plate carries a positive charge of 25nC and the bottom plate carrie, a charge of -25nC. Find the electric field strength between them.
Permitivity of free space = 8.9 * 10^-12

Homework Equations


Electrical field strength = surface charge density/permitivity of free space


The Attempt at a Solution


Should I take the difference of the charge between two plates, which is 50nC, and divide it by the surface area to find the charge density or just use the charge of one plate which is 25nC ?
Thank you.
 
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  • #2
The latter. Surface charge density = charge on one plate/area of plate.
 
  • #3
Yeah, i think so. But at first, i thought if there is a positive particle between the plates then there will be two forces acting on the particle. Add them up and divide it by the charge then we will get the field strength ??
 
  • #4
The equation you are using already includes the effect of both surface charges. The field from a single sheet of charge would be half that:
[tex]E = \frac{\sigma}{2\epsilon_0}[/tex]
 

What is electric field strength?

Electric field strength is a measure of the intensity of an electric field at a particular point in space. It is defined as the force per unit charge experienced by a small positive test charge placed at that point.

How is electric field strength calculated?

Electric field strength is calculated by dividing the force experienced by a test charge by the magnitude of the test charge. This can be expressed mathematically as E = F/q, where E is the electric field strength, F is the force, and q is the test charge.

What is the unit of electric field strength?

The unit of electric field strength is newtons per coulomb (N/C). This means that for every coulomb of charge, there is a force of one newton acting on it.

How does the distance from a source affect electric field strength?

The electric field strength is inversely proportional to the square of the distance from the source. This means that as the distance from the source increases, the electric field strength decreases.

What are some real-world applications of electric field strength?

Electric field strength is used in many practical applications, such as determining the strength of electric fields around power lines, calculating the force between two charged particles, and understanding the behavior of charged particles in electric fields.

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