A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of `80xx10^(-6)cm^(-2)`
a. Find the charge on the sphere.
b. What is the total electric flux leaving the surface of the sphere?

Explanation

Given diameter `d=2.4m`
radius `r=1.2m`
Surface charge density `sigma=80xx10^(-6)cm^(-2)`
a. `sigma=(theta)/(4 pi r^(2))`
`:.Q=(4 pi r^(2))sigma`
`=4xx3.142xx(1.2)^(2)xx80xx10^(-6)C`
`Q=1.45xx10^(-3)C`
b. Electric flux `phi=Q/(epsilo_(0))`
i.e. `phi=(1.45xx10^(-3))/(8.854xx10^(-12))`
i.e. `phi=1.64xx10^(8)V_(m) `(or `Nm^(2)C^(-1)`)
Flux leaving the surface `=1.6xx10^(8)Vm`