Final answer:
To find the electric field 9.50 cm outside the surface of the paint layer, we can use the formula to calculate the electric field due to a uniformly charged spherical shell. Plugging in the values, the electric field is -1.22 x 10^6 N/C.
Step-by-step explanation:
To find the electric field 9.50 cm outside the surface of the paint layer, we can consider the electric field due to a uniformly charged spherical shell. The formula to calculate the electric field at a point outside a uniformly charged spherical shell is given by:
E = k * Q / r^2
Where E is the electric field, k is the Coulomb's constant (k = 9 x 10^9 N*m^2/C^2), Q is the charge on the shell, and r is the distance from the center of the shell to the point where we want to calculate the electric field.
In this case, the charge on the paint layer is -10.0 μC and the distance from the center of the paint layer to the point where we want to calculate the electric field is 9.50 cm (0.095 m). Plugging in these values into the formula, we get:
E = (9 x 10^9 N*m^2/C^2) * (-10.0 x 10^-6 C) / (0.095 m)^2
Simplifying the equation, we find that the electric field at a distance of 9.50 cm outside the surface of the paint layer is -1.22 x 10^6 N/C.