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natetheman7740
05.10.2019 •
Physics
Anonconducting solid sphere of radius 11.6 cm has a uniform volume charge density. the magnitude of the electric field at 23.2 cm from the sphere's center is 1.89 103 n/c.
(a) what is the sphere's volume charge density? µc/m3
(b) find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center. n/c
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Ответ:
a) 1.76 μC/m^3 ; b) 40.73 * 10^3 N/C
Explanation: In order to solve this problem we have to use the Gaussian law, in this sense we have:
∫E.dS= Q inside/εo then we have:
E* 4*π*r= ρ* Volume/εo
then
ρ= E4*π* εo*r^2/Volume)= E*r^2/(k*(4/3)*π*R^3) where R is the radius of the sphere
ρ= 0.232^2*1,89*10^3/(6.54* 10^-3*9*10^9)=1.76 μC/m^3
The electric field is given by:
E= k*Vol*ρ/r^2 for r= 5cm
E= 9*10^9*6.54~ 10^-3* 1.73*10^-6/(0.0025)=40.73 * 10^3 N/C
Ответ: