A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter $13\mathrm{.}0cm.$ giving it a charge of $-59\mathrm{.}0C.$

Part A

Find the electric field just inside the paint layer.

Express your answer with the appropriate units. Enter positive value if the field is directed away from the center of the sphere and negative value if the field is directed toward the center of the sphere.

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Part B

Find the electric field just outside the paint layer.

Express your answer with the appropriate units. Enter positive value if the field is directed away from the center of the sphere and negative value if the field is directed toward the center of the sphere.

$E=$

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Part C

Find the electric field $8\mathrm{.}00cm$ outside the surface of the paint layer.

Express your answer with the appropriate units. Enter positive value if the field is directed away from the center of the sphere negative value if the field is directed toward the center of the sphere.

$E=$