You are given a uniformly charged spherical shell that has a radius (R) and carries a positive

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You are given a uniformly charged spherical shell that has a radius \(R\) and carries a positive charge \(q\). In order to measure the electric field magnitude inside, you drill a small hole that removes \(0.01 \%\) of the shell's material and insert a probe into the shell. What are the direction and approximate magnitude of the electric field at the shell center? (The answer is small but not zero.)

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