Calculating Electric Field of a Uniformly Charged Spherical Shell

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SUMMARY

The discussion focuses on calculating the electric field of a uniformly charged spherical shell with a radius of 18.7 cm and a total charge of 2.60 μC. The formula used is E = Q / (4 x π x ε₀ x r²), where Q is the charge, ε₀ is the permittivity of free space (8.854 x 10⁻¹² F/m), and r is the distance from the center (32.4 cm). The user initially calculated the electric field as 22.26 N/C but later realized the need to convert the radius to meters for accurate results, which is crucial for correct calculations.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with the concept of permittivity of free space (ε₀)
  • Ability to perform unit conversions, specifically from centimeters to meters
  • Basic algebra for manipulating equations
NEXT STEPS
  • Review the concept of electric fields generated by charged objects
  • Learn about the implications of Gauss's Law in electrostatics
  • Practice unit conversion techniques, especially in physics contexts
  • Explore the effects of charge distribution on electric fields
USEFUL FOR

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

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Homework Statement



please some one help me with this problem:

Consider a thin spherical shell of radius 18.7cm with a total charge of 2.60μC distributed uniformly on its surface. Find the electric field, in N/C, at a radius of 32.4cm from the center of the charge distribution.i used this equation:
E=Q/(4 x Pi x Eo x r^2)
this question was a quiz and i think i got it wrong. please help

Homework Equations


E=Q/(4 x Pi x Eo x r^2)

in this case : Q is 2.6e-6
and r= 32.4
Eo=8.854e-12

The Attempt at a Solution


E=2.6e-6/( 4 x pix 8.85e-12 x 32.4^2)
= 22.26N/C
i plugged in all the number and i got 22.26 whick is wrong. don't know wat i did wrong here
 
Last edited:
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Write the distance in meter.
 

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