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(II) A nonconducting sphere is made of two layers. The innermost section has a radius of 6.0 cm and a uniform charge density of –5.0 C/m3. The outer layer has a uniform charge density of +8.0 C/m3 and extends from an inner radius of 6.0 cm to an outer radius of 12.0 cm. Determine the electric field for (a) 0 < r < 6.0 cm. (b) 6.0 cm < r < 12.0 cm, and (c) 12.0 cm < r < 50.0 cm. (d) Plot the magnitude of the electric field for 0 < r < 50.0 cm. Is the field continuous at the edges of the layers?
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