Question

A charge -353e is uniformly spread through the volume of a sphere of radius 4.40 cm. What is the volume charge density in that sphere?

Answer 1

The volume charge density of the sphere is
`1.58* 10^(-13)\ C/m^3`

Step-by-step explanation:

It is given that,

Charge on sphere,
`q = -353\ e =-353* 1.6* 10^(-19)\ C=-5.64* 10^(-17)\ C`

Radius of sphere, r = 4.4 cm = 0.044 m

We need to find the volume charge density in that sphere. It is given by total charge divided by total volume of the sphere.

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

`\rho=(5.64* 10^(-17)\ C)/((4)/(3)\pi (0.044\ m)^3)`

`\rho=1.58* 10^(-13)\ C/m^3`

So, the volume charge density of the sphere is
`1.58* 10^(-13)\ C/m^3`. Hence, this is the required solution.