Question

A total charge of 6.3×10−8 C is distributed uniformly throughout a 2.7-cm radius sphere. The

volume charge density is:

Answer 1

The volume charge density of the sphere is
`7.64* 10^(-4)\ C/m^3`.

Step-by-step explanation:

It is given that,

Charge,
`q=6.3* 10^(-8)\ C`

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 :

`\rho=(Q)/(V)`

`\rho=(Q)/(4/3\pi r^3)`

`\rho=(6.3* 10^(-8))/(4/3\pi (0.027)^3)`

`\rho=7.64* 10^(-4)\ C/m^3`

So, the volume charge density of the sphere is
`7.64* 10^(-4)\ C/m^3`. Hence, this is the required solution.