For a conducting sphere with uniform surface charge distribution:
Inside the sphere
(r<R) : The electric field
E=0. This is because the electric field within a conductor in electrostatic equilibrium is zero.
Outside the sphere
(r≥R) : The electric field behaves like that of a point charge. It can be represented by the equation
E=‌, where
k is Coulomb's constant,
Q is the total charge on the sphere, and
r is the distance from the center of the sphere.
Thus, the graph depicting the electric field as a function of distance
r should show a flat line at
E=0 for
r<R and then a curve following the inverse square law
E=‌ for
r≥R.