A sphere centered at the origin has radius `0.200 m. A-500muC` point charge is on the x-axis at `x = 0.300 m`. The net flux through the sphere is `360 N-m^2//C`. What is the total charge inside the sphere?

Answer

A, C

Explanation

Sphere is a closed surface. Therefore Gauss's theorem can be applied directly on this
`:. phi_("total")=q_("in")/epsilon_0`
or `q_("in")=(phi_("total"))(epsilon_0)`
`=(360)(8.86x10^-12)`
`=3.19xx10^-9C`
`=3.19nC`