Electric Field Above a Charged Circular Disk

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SUMMARY

The discussion focuses on calculating the electric field above a charged circular disk as presented in problem 2.6 of "Introduction to Electrodynamics" by David J. Griffiths. The key steps involve determining the electric field produced by an infinitesimal charge element, represented as σ ρ dρ dθ, and integrating to find the total electric field at a distance z along the z-axis. The symmetry of the problem allows for the simplification of the calculation to only the z-component of the electric field.

PREREQUISITES
  • Understanding of electric fields and charge distributions
  • Familiarity with integration techniques in calculus
  • Knowledge of cylindrical coordinates
  • Basic principles of electrostatics
NEXT STEPS
  • Study the derivation of electric fields from continuous charge distributions
  • Learn about the use of cylindrical coordinates in electrostatics
  • Explore the concept of symmetry in electric field calculations
  • Practice solving similar problems in Griffiths' "Introduction to Electrodynamics"
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Students of electromagnetism, physics educators, and anyone looking to deepen their understanding of electric fields generated by charged objects.

nibal
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Hello guys,
I have a problem with actually starting up this problem (2.6) in "Intrroduction to electrodynamics" Griffiths.

Question

Find the electric field a distance z above the center of a flat cricular disk of radius R, which carries a uniform surface charge (sigma)?

I am having problems setting it up especially how 'da' looks like and also the whole integral.

Thanks.
 
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Find the electric field produced by an element of charge [itex]\sigma \rho d\rho d\theta[/itex] at a position along the z-axis. You only need to consider the z-component of field due to the symmetry. Then it's just a matter of integration.
 
Last edited:
Thank you i get it now Tide.
 

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