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posted by  shark25 on 6/5/2008 8:54:53 PM  |  status: Live  

Gauss's Law (Will rate lifesaver) Thanks!

Course Textbook Chapter Problem
Calculus Based Physics University Physics with Modern Physics (12th) by Young, Freedman N/A N/A
Question Details:
   An insulating sphere with a radius of 3*10^-2m has a uniform charge density of 3.38μC/m^3 throughout its volume.
Find the magnitude of the electric field at a point 6*10^-2m from the center of the sphere.
 
Find the magnitude of the electric field at the surface of the sphere.
 
Find the magnitude of the electric field at a point 1.2*10^-2m from the center of the sphere.
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Sage
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posted by SamiLiLOnE on 6/5/2008 9:22:50 PM  |  status: Live
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shark25's comment:
"Thanks so much!"
Response Details:
ρ = Q/V
V = 4/3 πr3 = 4/3 π(3 x 10-2m)3 = 1.13 x 10-4 m3
3.38 x 10-6 C/m3 = Q/(1.13 x 10-4 m3)
Q = 3.82 x 10-10 C

E = kQ/r2
E = (8.99 x 109 Nm2/C2)(3.82 x 10-10 C)/(0.03 + 0.06 m)2
E = 424 NC

E = kQ/r2
E = (8.99 x 109 Nm2/C2)(3.82 x 10-10 C)/(0.03 m)2
E = 3816 NC

E = kQ/r2
E = 0 NC when a<r

There is no electric field inside of a sphere

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