Uniform Charge Density: Homework Solution

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SUMMARY

The discussion focuses on calculating the electric field strength between two large sheets of plastic with uniform surface charge densities of eta_1 = -eta_0 and eta_2 = +3eta_0. The electric field strengths at three points are analyzed: Point 1 (to the left of the negative plate), Point 2 (between the plates), and Point 3 (to the right of the positive plate). The correct approach involves using the formula for the electric field of a plane sheet, E = sigma/(2ε), leading to the conclusion that the net electric field at Point 1 is zero, while Point 2 and Point 3 require further calculations based on the superposition principle of electric fields.

PREREQUISITES
  • Understanding of electric fields and charge distributions
  • Familiarity with the concept of superposition in electrostatics
  • Knowledge of the formula for electric field due to a plane sheet: E = sigma/(2ε)
  • Basic principles of capacitors and their electric field behavior
NEXT STEPS
  • Study the superposition principle in electrostatics
  • Learn about electric field calculations for non-parallel plate configurations
  • Explore the concept of electric field lines and their representation
  • Review the properties of capacitors, particularly parallel plate capacitors
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding electric fields generated by charged surfaces.

sister007
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Homework Statement



ou've hung two very large sheets of plastic facing each other with distance d between them, as shown in the figure View Figure . By rubbing them with wool and silk, you've managed to give one sheet a uniform surface charge density eta_1= - \eta _{0} and the other a uniform surface charge density eta_2= + 3 \eta _{0} . What is the electric field strength at
POINT 1 (TO THE LEFT OF THE NEGATIVE PLATE)
POINT 2 (BETWEEN THE PLATES)
POINT 3 (TO THE RIGHT OF THE POSITIVE PLATE)

Specific distances are not given, all the the distances ("radius's") from the plates are the same.

Homework Equations



I was under the impression that only parrallel plate capacitors have uniform charge. So indeed all the charges will be different.
Would the point 1 be Net charge=o? Or would it be 1(nu)-3(nu)=-2nu?

The Attempt at a Solution



Im my book it says Efield of plane= N/(2xEpsilon) Using that info, I said point 2 is equal to 3/2 (n/E). I was wrong, SO obviously I don't know what I am doing. Help.
 
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There's no figure.
 
-1-(+3)=-4.
 

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