A charge of 7.5 nC is distributed throughout the volume of a solid insulating sp
ID: 2250922 • Letter: A
Question
A charge of 7.5 nC is distributed throughout the volume of a solid insulating sphere with radius 25mm.
a) What is the volume charge density for this surface?
b)What is the electric flux through a surface 13mm from the center of the sphere?
c) What is the electric field 3cm from the center of the sphere?
I'm stuck on this question please show steps so that I understand it. Thank you.
A charge of 7.5 nC is distributed throughout the volume of a solid insulating sphere with radius 25 mm. What is the volume charge density for this surface? What is the electric flux through a surface 13 mm from the center of the sphere? What is the electric field 3 cm from the center of the sphere?Explanation / Answer
Q = 7.5*10^-9 C
R = 0.025 m
A) volume charge density, rho = Q/V
= Q/(4/3*pi*R^3)
= 7.5*10^-9/(4/3*3.14*0.025^3)
= 1.147*10^-4 C/m^3
B)
Q_inside = Q*13^3/25^3
= 7.5*10^-9*13^3/25^3
= 1.0546*10^-9 C
flux = Qinside/epsilon
= 1.0546*10^-9/(8.854*10^-12)
= 119.1 N.m^2/C
C)
r = 3 cm = 0.03 m
E = k*Q/r^2
= 9*10^9*7.5*10^-9/0.03^2
= 75000 N/C
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