Calculating Electric Field of a Uniformly Charged Spherical Shell

AI Thread Summary
To calculate the electric field of a uniformly charged spherical shell, the formula E = Q/(4πEo r^2) is used, where Q is the total charge, Eo is the permittivity of free space, and r is the distance from the center. In this case, with a charge of 2.60μC and a radius of 32.4cm, the calculation yields an electric field of 22.26 N/C. However, the user suspects this answer is incorrect, likely due to not converting the radius to meters. The correct radius should be 0.324m for accurate results. Ensuring proper unit conversion is crucial for solving such problems accurately.
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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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