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## Homework Statement

Consider a point charge q > 0 which is surrounded by a hollow metal sphere (uncharged) with inner radius R

_{1}and outer radius R

_{2}. Use Gauss Law to determine the electric field E=E

_{(r)}e

_{r}in the following regions:

(i) 0 < r < R

_{1}

(ii) R

_{1}< r < R

_{2}

(iii) r > R

_{2}

## Homework Equations

∫EdA = Q/ε

## The Attempt at a Solution

(i) I believe the answer would be 0 because the electric field inside of an enclosed conductor is always zero

(ii) This is where my troubles really lie, don't know what to do here

(iii) I think that the electric field would be equatable to that of one where the point charge didn't exist outside the conductor as long as r is great enough, and i can solve for this