Question

A uniformly charged conducting sphere of 2.8 m in diameter has a surface charge density of 100 microcoulomb metres square find the charge on the sphere what is the total electric flux leaving the surface of the sphere

Answer 1

As per the Gauss' law, the total flux passing through a gaussian surface is equal to the 1/ε times the charge enclosed with the gaussian surface.
Mathematically,
Φ = q/ε

To find out the charge, we use the surface charge density, б
Given, б = 100μC/$m^2$

The charge carried by the Conductor = Charge density * Surface area of                                                                               conductor
                                                               = $100*10^{-6}*4*3.14*1.4^2$
                                                               = 2.464 mC
So, Flux pasing = q/ε
                          = 2.464*10^-3/ε
                          =278.8M Vm 

Hope it helped you!
Don't forget to give Brainliest Answer!