Answer :
Final answer:
The electric field at a point 10.0 cm from the center of a uniformly charged spherical shell, with radius greater than 10.0 cm, is zero due to the symmetry of the charge distribution as per Gauss's Law.
Explanation:
You're looking to find the electric field at a point 10.0 cm away from the center of a spherical shell with a radius of 13.0 cm and a total charge of 35.8μC. Since the point where you want to determine the electric field is located inside the shell (because 10.0 cm is less than the shell's radius of 13.0 cm), you can apply Gauss's Law here.
One of Gauss's Law's consequences is that the electric field inside a uniformly charged spherical shell is zero. Therefore, no matter the specific location inside the shell, the electric field value remains zero.