A uniformaly charged conducting sphere of diameter 2.4 m has a surface charge density of `80.0muCm^(-2)`. What is the total electric flux leaving the surface of the sphere ?

Options

A. `1.637xx10^(8)N-m^(2)C^(-1)`
B. `1.538xx10^(8)N-m^(2)C^(-1)`
C. `2.383xx10^(^)N-m^(2)C^(-1)`
D. `4.356xx10^(6)N-m^(2)C^(-1)`

Answer

A

Explanation

Given, `R=(D)/(2)=(2.4)/(2)=1.2m, sigma=80.0muCm^(-2)`
According to Gauss' law
Electric flux, `phi=(q)/(epsilon_(0))=(1.45xx10^(-3))/(8.854xx10^(-12))`
`=0.1637xx10^(9)=1.637xx10^(9)N-m^(2)C^(-1)`