Question

Why isn't the flux of a sphere dependent on the radius of the sphere... I would expect that since the sphere increases with the radius, the electric field will decrease per unit surface area and thus reducing the flux.... Thanks

Answer 1

Because the area increases as well; so it compensates for the decrease in the electric field. I hope this helps.

Answer 2

flux = q(inside)/e.......d defination doesnt have any term of radius.....
d other way u can do it... like imagine u r in a sphere n u hav an object tat is emmiting light in all directions.......so no. of rays which pass through a sphere of radius 3meters is same as d d no. of rays which pass through a sphere of radius of 10meter.... u can download the PDF of a book ..... NAME HC VERMA (part1 & part2).... its very good...
\[\phi = q(inside)/\in\]