A uniform volume charge density of 80 µC/m3 is present throughout the region 8 mm < r < 10 mm. Let ρν = 0 for 0 < r < 8 mm. (a) Find the total charge inside the spherical surface r = 10 mm. (b) Find Dr at r = 10 mm. (c) If there is no charge for r > 10 mm, find Dr at r = 20 mm.
2. An infinitely long cylindrical dielectric of radius b contains charge within its volume of density ρv = aρ2, where a is a constant. Find the electric field strength, E, both inside and outside the cylinder.
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