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A spherical conducting shell of inner radius a and outer radius b carries a total charge +Q distributed on the surface of a conducting shell (figure a). The quantity Q is taken to be positive.
Suppose the charge at the center is now increased to +7Q, while the charge at the surface of the conductor is changed to +3Q. (Use the following as necessary: ε0, π, Q and r.)
1. Find the electric field exterior to the sphere, for r > b.
2. What's the electric field inside the conductor, for a < r < b.
3. Find the charge distribution on the conductor. (inner surface)
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