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Consider a system of conductors comprising a full conducting sphere of radius R, and a con- ducting shell of radius R2 > Ri; the sphere

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Consider a system of conductors comprising a full conducting sphere of radius R, and a con- ducting shell of radius R2 > Ri; the sphere and shell are concentric. Assume the full sphere is charged with charge q and the shell with charge q2. 1) Calculate the electrostatic potential and field distribution at any point in space by means of Laplace's equation Hint: You must consider the inner and outer surfaces of the shell as two separate entities, which can each carry a different charge.]. [45 points] 2) Assuming q1 = -q and q2 = +q, calculate the system capacitance (show all calculations)

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