Answer:
The electric field at a distance of 0.584 cm from the center of the sphere is 61.02 N/C.
Step-by-step explanation:
Given that,
Initial distance,

Initial electric field,

We need to find the electric field 0.584 cm from the center of the sphere,
. The electric field at a distance d is the given by :

(as electric field is inversely proportional to the distance)
is the electric field 0.584 cm from the center of the sphere



So, the electric field at a distance of 0.584 cm from the center of the sphere is 61.02 N/C. Hence, this is the required solution.