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2. Conducting plane with a bulge: As shown in Figure 2, a conducting material fills the semi-infinite region z R) from the xy plane. d

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2. Conducting plane with a bulge: As shown in Figure 2, a conducting material fills the semi-infinite region z R) from the xy plane. d hemispherical bulge R grounded conductor V =0 Figure 2: Infinite conducting plane with a hemispherical bulge. (a) (6 points) Introduce three point image charges such that the image charge configuration gives the right field in the conductor exterior. Specify the charge amount and the position of each image charge you introduce. (b) (4 points) Find the total amount of charge induced on the conductor surface. (c) (6 points) Find the attractive force acting on the point charge q from the surface charge

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