In a region in free space, electric flux density is found to be Everywhere else, D =
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Everywhere else, D = 0.
(a) Using · D = Ïv, find the volume charge density as a function of position everywhere.
(b) Determine the electric flux that passes through the surface defined by z = 0, a ¤ x ¤ a, b ¤ y ¤ b.
(c) Determine the total charge contained within the region a ¤ x ¤ a, b ¤ y ¤ b, d ¤ z ¤ d.
(d) Determine the total charge contained within the region a ¤ x ¤ a, b ¤ y ¤ b, 0 ¤ z ¤ 2d.
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