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+Q 5. [26 pnts total] A metal pinball, with radius a, is placed at the center of a solid plastic ball, with radius b.

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+Q 5. [26 pnts total] A metal pinball, with radius a, is placed at the center of a solid plastic ball, with radius b. The rubber ball is neutral but the pinball is given a total charge +Q. The plastic is assumed to be a linear dielectric with a dielectric constant E, . a) [6 pts] Solve for the displacement field D, the electric field E, and the polarization P everywhere. b) [4 pts] Use Gauss' law to determine the total charge within plastic Plantic Metal c) [2 pts] Redraw the sketch ball and indicate the bound charge distribution. If a bound surface or volume charge exists, be sure to indicate it clearly. If it's zero, state that it is zero. with a

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