Problem 4 An infinite flat plate has positive charge permanently fixed uniformly

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Problem 4 An infinite flat plate has positive charge permanently fixed uniformly across its surface. Sketch the two cases as separate diagrams. In the first case, an originally uncharged, ungrounded conducting sphere is brought close to the plate. In the second case, a grounded conducting sphere is brought close to the plate. Because of the symmetry, you only need to draw a two-dimensional cross-section of the problem. (a) Sketch the location of positive and negative charge on the sphere. (b) Draw the electric field lines everywhere they exist as solid arrows. (c) Draw the equipontentials as dotted lines.

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