A square metal plate of edge length 9.7 cm and negligible thickness has a total charge of 7.1 10^-6 C. (a) Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of 0.62 mm from the center) by assuming that the charge is spread uniformly over the two faces of the plate. (b) Estimate E at a distance of 38 m (large relative to the plate size) by assuming that the plate is a charged particle.

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