How to derive magnitude of Electric field to this?

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SUMMARY

The magnitude of the electric field (|E|) can be derived using the formula |E| = \frac{2kQ}{d^2} = 2\pi k\sigma, where k represents the Coulomb constant, defined as k = \frac{1}{4\pi\epsilon_0}. The value of the Coulomb constant is approximately 8.854 x 10^-12 F m^-1. This formula is essential for calculating electric fields in various configurations, particularly in electrostatics.

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  • Understanding of Coulomb's Law
  • Familiarity with electric field concepts
  • Knowledge of constants such as ε0 (permittivity of free space)
  • Basic algebra for manipulating equations
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  • Learn about electric field calculations in different geometries
  • Explore the implications of permittivity in electric fields
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Students in physics, electrical engineers, and anyone studying electrostatics will benefit from this discussion on deriving the magnitude of electric fields.

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[Ignore]How to derive magnitude of Electric field to this?

Homework Statement


My book states that
[tex]|E| = \frac{2kQ}{d^2} = 2\pi k\sigma[/tex]
I thought k, the coulomb constant is [tex]\frac{1}{4\pi\epsilon0}[/tex]


Homework Equations





The Attempt at a Solution

 
Last edited:
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k ≈ 8.854 187 817 x 10-12 F m-1
 

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