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

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Homework Help Overview

The discussion revolves around calculating the electric field strength between two charged plates in a vacuum, specifically focusing on the relationship between charge, area, and electric field strength. The problem involves two plates with known charges and area, prompting participants to explore the relevant equations and concepts in electrostatics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss whether to use the total charge difference or the charge of a single plate to calculate surface charge density. There is also consideration of the forces acting on a particle placed between the plates and how they relate to electric field strength.

Discussion Status

Some participants have offered guidance on using the charge of one plate for calculations, while others are exploring the implications of forces on a particle in the electric field. The discussion reflects a mix of interpretations and approaches without reaching a consensus.

Contextual Notes

The problem is constrained by specific values for charge, area, and permittivity of free space, which are provided in the original post. There is an underlying assumption regarding the uniformity of the electric field between the plates.

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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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The latter. Surface charge density = charge on one plate/area of plate.
 
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 ??
 
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]
 

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