Electric Field due to an Infinite Line

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SUMMARY

The electric field due to an infinite ribbon of charge can be calculated using the formula E = σ/2ε, where σ represents the surface charge density. In this case, the surface charge density is given as σ = 2 x 10-6 C/m2. To find the electric field at a point 2 cm from one edge of the 2 cm wide ribbon, the ribbon should be divided into infinitesimal strips of thickness dx, allowing for the application of the linear charge density concept.

PREREQUISITES
  • Understanding of electric fields and charge distributions
  • Familiarity with the concept of surface charge density
  • Knowledge of calculus, specifically integration of infinitesimal elements
  • Basic principles of electrostatics, including Gauss's Law
NEXT STEPS
  • Study the derivation of the electric field from an infinite line charge
  • Learn about the application of Gauss's Law in calculating electric fields
  • Explore the concept of surface charge density in electrostatics
  • Practice problems involving integration of electric fields from continuous charge distributions
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand electric fields generated by continuous charge distributions.

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Homework Statement


Recalling that the field due to an infinite line charge with Charge-per-unit-lenght λ is

E=λ/2∏εx

At distant x from the line, find the field due to an infinite "Ribbon" of charge 2cm wide, at point 2 cm from one edge in the plane of the Ribbon. The surface charge density on the Ribbon is σ=2x10-6C/m2.
Note: Linear charge density on width dx of the ribbon is σdx


Homework Equations



E=σ/2ε

The Attempt at a Solution


I am lost and I am not sure how to start the problem :confused:
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Break the ribbon into strips of infinitesimal thickness dx.
 

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