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Solve the all parts of given problem:

Problem: An electric field of 10000 N/C is measured 2.0 cm away from the surface of a conducting sphere of 1.0 cm radius. There are no other charged objects apart from the sphere, and the electric field is directed towards the center of the sphere.

Part A: What amount of electric charge, including the sign, is present on the sphere (in nC)?

Part B: What is the electric field at a distance of 0.50 cm from the center?

Please show how you obtained the answer for above problem.

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