Electric Field between Parallel Plates

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SUMMARY

The electric field between two parallel plates, each with an area of 1 m² and separated by 0.01 m, can be calculated using the formula E = kQ/d², where k is Coulomb's constant and Q is the charge of 8.84 x 10^-8 C on each plate. The area is relevant for determining the charge surface density, which is essential for calculating the electric field accurately. The electric field is uniform between the plates, provided the separation is much smaller than their dimensions, and can be analyzed using Gauss's law.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with Coulomb's law and electric field equations
  • Knowledge of Gauss's law and its applications
  • Basic concepts of charge density and permittivity
NEXT STEPS
  • Study the derivation and applications of Gauss's law in electrostatics
  • Learn how to calculate charge density from charge and area
  • Explore the concept of electric fields in uniform fields and their characteristics
  • Review electrostatics textbooks for in-depth understanding of electric fields between parallel plates
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators and anyone seeking to understand the behavior of electric fields in parallel plate configurations.

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Electric Field hard question :(

Homework Statement



What is the electric field between two parralel plats, each of area 1 m^2 which are separated by a distance of 0.01 m, if each plate is charged equally but oppositely with a charge of magnitude 8.84 x 10^-8 C?

Homework Equations


E= kQ/ d^2


The Attempt at a Solution


i tried to find the electric field at each plat using E= kQ/ d^2. Because it says in the question 'find the electric field between the two parralel plates, does this mean the midpoint?
i don't really get what to do with the area either?
Any Help would be greatly appreciated
THANKYOU :^)
 
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The electric field between two parallel plates, when their separation is much smaller than their size, is uniform (as long as you stay away from the edges)
and has a magnitude equal to the charge density divided by the permissivity of the medium.

The area is given to you so that you calculate the charge surface density. I think you can find plenty of information on this topic in any good electrostatics textbook.
 


Make use of Gauss law and symmetry here.
 

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