Answer:
The volume charge density of the sphere is [tex]7.64\times 10^{-4}\ C/m^3[/tex].
Explanation:
It is given that,
Charge, [tex]q=6.3\times 10^{-8}\ C[/tex]
Radius of the sphere, r = 2.7 cm = 0.027 m
Total charge contained divided by its volume is called volume charge density. Mathematically, it is given by :
[tex]\rho=\dfrac{Q}{V}[/tex]
[tex]\rho=\dfrac{Q}{4/3\pi r^3}[/tex]
[tex]\rho=\dfrac{6.3\times 10^{-8}}{4/3\pi (0.027)^3}[/tex]
[tex]\rho=7.64\times 10^{-4}\ C/m^3[/tex]
So, the volume charge density of the sphere is [tex]7.64\times 10^{-4}\ C/m^3[/tex]. Hence, this is the required solution.
