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PosteMortem
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Homework Statement
An uncharged nonconductive hollow sphere of radius 12.0 cm surrounds a 11.0 µC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux through the hole.
Homework Equations
Flux=EA
The Attempt at a Solution
I've got the solution for this problem. I found the flux for the sphere to be equal to (kq/r^2)*(pi*r^2)=k*q*pi, and after multiplying that value by the ratio of the smaller radius squared to the larger radius squared, I got the answer. However, I was reading the textbook, and it shows the flux through a sphere to be equal to 4*k*q*pi, the reason being that integrating over the entire surface will give us the surface area of a sphere. I'm confused as to how these two answers could be different. Shouldn't it be the same in both cases?