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

Explanation:

volume of sphere

$v = \frac{4 }{3} \: \pi \: {r}^{2}$

Answer 2

Answer:

A total charge of 6.3×10−8 C is distributed uniformly throughout a 2.7cm radius sphere. The  volume charge density is $0.79*10^{-3} C/m^{3}$

Explanation:

• The volume charge density (ρ) is the charge (q) in unit volume (v), that is

        ρ= $q/v$

• For a sphere of radius (r) volume is given by $v=\frac{4}{3} \pi r^{3}$

From the question, we have

the total charge present $q=6.3*10^{-8}C$

the radius of the sphere $r=2.7cm=0.027m$

the volume of the sphere $v=\frac{4}{3}* \pi* 0.027^{3}=7.9*10^{-5}m^{3}$

the volume charge density is

ρ= $\frac{6.3*10^{-8} }{7.9*10^{-5} } =0.79*10^{-3} C/m^{3}$