What is the electric flux through a sphere that has a radius of 1.00
m and carries a charge of +1.00

C at its center?

E = 8991.8 N/C

Explanation:

To find the electric flux in the sphere you use the Gaussian formula:

but, electric field is given by

in each point of the sphere surface, electric field is parallel to the normal vector of the surface:

Then, for r = 1.00 m you have:

where you have used that εo = 8.85*10^-12 C^2/Nm^2

-4 on

c. magnitude and direction