Consider a hollow spherical conductor with total charge +6e. The outer and inner radii are a and b, respectively. Calculate the charge on the sphere’s inner and outer surfaces if a charge of -2e is placed at the center of the sphere. What is the total net charge of the sphere? Problems 7 and 8, you only need to choose one: Two point charges are placed at two of the corners of a triangle as shown in the figure. Find the magnitude and the direction of the electric field at the third corner of the triangle. Problem 8 and 9, you only need to choose one: A hollow metal sphere has inner and outer radii of 20.0 cm and 30.0 cm, respectively. As shown in the figure, a solid metal sphere of radius 10.0 cm is located at the center of the hollow sphere. The electric field at a point P, a distance of 15.0 cm from the center
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