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

Answer:

The volume charge density of the sphere is $1.58\times 10^{-13}\ C/m^3$

Explanation:

It is given that,

Charge on sphere, $q = -353\ e =-353\times 1.6\times 10^{-19}\ C=-5.64\times 10^{-17}\ C$

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.

$\rho=\dfrac{q}{V}$

$\rho=\dfrac{5.64\times 10^{-17}\ C}{\dfrac{4}{3}\pi (0.044\ m)^3}$

$\rho=1.58\times 10^{-13}\ C/m^3$

So, the volume charge density of the sphere is $1.58\times 10^{-13}\ C/m^3$. Hence, this is the required solution.