A spherical shell of radius R1 carries a total charge q1 that is uniformly distributed on its

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A spherical shell of radius R1 carries a total charge q1 that is uniformly distributed on its surface. A second, larger spherical shell of radius R2 that is concentric with the first carries a charge q2 that is uniformly distributed on its surface.

(a) Use Gauss's law to find the electric field in the regions r < R1, R1 < r < R2, and r > R2.

(b) What should the ratio of the charges q1/q2 and their relative signs be for the electric field to be zero for r > R2?

(c) Sketch the electric field lines for the situation in part (b) when q1 is positive.

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