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Solve the given problems:
Problem I: At a distance of 0.192cm from the center of a charged conducting sphere with radius 0.100cm, the electric field is 475N/C. What is the electric field 0.584cm from the center of the sphere?
Problem II: At a distance of 0.204cm from the axis of a very long charged conducting cylinder with radius 0.100cm, the electric field is 475N/C. What is the electric field 0.584cm from the axis of the cylinder?
Problem III: At a distance of 0.220cm from a large uniform sheet of charge, the electric field is 475N/C. What is the electric field 1.40cm from the sheet?
Please use great detail in explaining the solution of above problems. Thank you.
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