Surface Charge Density and electric field

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SUMMARY

The discussion focuses on calculating the electric field generated by a nonconducting wall with a uniform surface charge density of 8.55 µC/cm². The relevant equations used include the surface charge density formula (σ = Q/A) and the electric field equation (E = σ/2ε₀). The correct calculation for the electric field at a distance of 8.55 cm from the wall is E = 8.55 µC/cm² / (2 x 8.854 x 10^-12 F/m), confirming that the distance does not affect the electric field in this scenario, as long as it is small compared to the wall's dimensions.

PREREQUISITES
  • Understanding of electric fields and surface charge density
  • Familiarity with the equation for electric field due to a charged surface
  • Knowledge of the permittivity of free space (ε₀)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the concept of electric fields from charged surfaces in electrostatics
  • Learn about the implications of charge density on electric field strength
  • Explore the role of distance in electric field calculations
  • Investigate applications of electric fields in nonconducting materials
USEFUL FOR

Students in physics, particularly those studying electrostatics, electrical engineers, and anyone interested in understanding electric fields generated by charged surfaces.

PatrickGeddes
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Homework Statement


A nonconducting wall carries charge with a uniform density of 8.55 µC/cm2.
(a) What is the electric field 8.55 cm in front of the wall if 8.55 cm is small compared with the dimensions of the wall?


Homework Equations



σ= Q/A
E=σ/2Eo

The Attempt at a Solution



E=8.55/2 x 8.854x10^-12
 
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Don't think this is right, I feel like the factor that the 8.55cm from the wall should make a difference. Is that right?
 

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