Find electric Field through 3 plates using Gausses Law

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SUMMARY

The discussion focuses on calculating the electric field at point C due to three parallel planes of charge using Gauss's Law. The middle plane has a charge density of +4 nC/m², while the outer planes have a charge density of -2 nC/m². The electric field is calculated using the formula E = ρD/ε, where ρ is the charge density, D is the distance, and ε is the permittivity of free space. The user is advised to construct a Gaussian surface that intersects point C to simplify the calculation and leverage symmetry.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric field calculations
  • Knowledge of charge density concepts
  • Basic principles of symmetry in physics
NEXT STEPS
  • Study the application of Gauss's Law in different geometries
  • Learn about electric field calculations for multiple charge distributions
  • Explore the concept of Gaussian surfaces in electrostatics
  • Review the principles of electric field superposition
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Students studying electromagnetism, physics educators, and anyone seeking to understand electric fields generated by multiple charge distributions.

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Homework Statement


The figure shows three very thin parallel planes of charge with equal separation 8 cm between them. The charge density of the middle plane is +4 nC/m2 (nC = "nano Coulomb") and that of the two outer planes is -2nC/m2. Use Gauss's law to solve the following questions. We choose positive electric field along the y-direction.
What is the Electric Field at point C?

Homework Equations


E=ρD/ε Electric Field at position D


The Attempt at a Solution


I've tried to Calculate the E at distance between The top Positive ρ and the point C and from the bottom ρ to point C. Should these two be equal?
From top:
(4e-9c/m^2 * 0.004m) / ε to give me field to point C

From bottom:
(2e-9c/m^2 * 0.004m) / ε to give field to point C

I know the field results in a - I've tried to add them to get the answer and subtract.
What am I to do from this point?
Am I using the wrong equation?


Thanks!
 

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The question asks you to use Gauss' law to find the answer. Since you want the field at point C, you should try to construct a Gaussian surface that goes through C. Choose the shape of the Gaussian surface so that you can take advantage of any symmetry in the problem.
 

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