For a uniformly charged disk of radius (90 mathrm{~mm}), you wish to determine the electric field magnitude

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For a uniformly charged disk of radius \(90 \mathrm{~mm}\), you wish to determine the electric field magnitude along the axis that runs through the disk center and perpendicular to the disk face. You want to get by with a minimal amount of work, so you need to know when you can get by with approximating the disk as an infinite sheet. At what distance along the perpendicular axis does your error in \(E\) reach \(10 \%\) when you use this approximation?

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