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A solid metal ball of 1 m radius is centered in and surrounded by a thick...

A solid metal ball of 1 m radius is centered in and surrounded by a thick walled spherical hollow metal ball whose inner wall radius is 8m and outer wall radius is 9m. Both balls are isolated and then additional charge is deposited on both. If the E field points outward at 3.5m from the center of the inner ball and has a value of 77.1 N/C.

  1. what is the surface charge density on the surface of the inner ball? Answer in pC/m^2. Three places to right of decimal.
  2. If the E field at a distance of 8 m from the center of the inner ball was 43, what would the surface charge density be on the outer surface of the outer ball in pC/m^2? whole number answer.
  3. What will the value of the E field be at a distance of 10.5m from center of inner ball? Assume surface charge density of 40 pC/m^2 on outer surface of inner sphere. Answer in N/C.
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