Question

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

Answer 1

Answer:

The volume charge density of the sphere is $7.64\times 10^{-4}\ C/m^3$.

Explanation:

It is given that,

Charge, $q=6.3\times 10^{-8}\ C$

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 :

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

$\rho=\dfrac{Q}{4/3\pi r^3}$

$\rho=\dfrac{6.3\times 10^{-8}}{4/3\pi (0.027)^3}$

$\rho=7.64\times 10^{-4}\ C/m^3$

So, the volume charge density of the sphere is $7.64\times 10^{-4}\ C/m^3$. Hence, this is the required solution.

Answer 2

The density is 3.7 x 10-7 C/ m3