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

AI Thread Summary
To calculate the electric field strength between two charged plates, the relevant equation is the surface charge density divided by the permittivity of free space. For two plates with equal and opposite charges, the surface charge density should be calculated using the charge of one plate (25nC) divided by the area of the plate (80cm²). The total electric field strength can be derived from the formula E = σ/ε₀, where σ is the surface charge density. It is important to note that the electric field from a single charged plate is half that of the combined effect of both plates. Thus, the correct approach is to use the charge of one plate to find the electric field strength.
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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:
E = \frac{\sigma}{2\epsilon_0}
 
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