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A van de Graaff generator consists of a conducting sphere of radius 20 cm supported on a long insulating tube. A motor-driven belt pumps charge into the sphere at a rate of 0.22 µA.

a. What is the capacitance of the sphere?

b. If leakage is negligible, what is the potential of the sphere after 10 seconds of operation?

c. What is the electric field inside the sphere?

d. What is the electric field at the surface of the sphere?

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