Final answer:
Using the electric potential formula for a point charge, which is applicable outside a uniformly charged sphere, to find the distance where the potential is 5.00 MV for a 1.00 C charge, the calculated distance is 1.798 m, which does not match the given options. There appears to be an error in the provided question or options.
Step-by-step explanation:
To find the distance from the center of a uniformly charged sphere where the electric potential is 5.00 MV, we can use the formula for the electric potential due to a point charge (since outside the sphere, the charge distribution can be considered as a point charge at the center), which is V = kQ/r. Here, V is the electric potential (5.00 MV), Q is the charge on the sphere (1.00 C), k is Coulomb's constant (8.99 × 109 N·m2/C2), and r is the distance from the center of the sphere we are solving for.
Plugging in the values, we get:
5.00 × 106 V = (8.99 × 109 N·m2/C2)(1.00 C) / r
Solving for r, we find that r equals 1.798 m. However, this is not an option provided among the choices A) 5.00 m, B) 1.00 m, C) 10.0 m, D) 2.00 m. Therefore, there appears to be an error in the question or the provided options.
The practical aspect of isolating such a large charge implies that maintaining a single charge of 1.00 C would require very high electric potentials, which suggests significant challenges in insulation and safety due to the intense electric fields that would be generated.