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Consider the capacitor formed by a conducting sphere with radius R1 surrounded by a concentric conducting spherical shell with inside radius R2 and outside radius R3.
(1) Calculate the potential of the outer shell when charge Q is put on it and the inner shell is grounded.
(2) Calculate the potential of the inner shell when charge Q is put on it and the outer shell is grounded.
(3) Calculate the charge on the outer sphere when it is grounded and the inner sphere is at potential V.
(4) Convert your calculations above into the coefficients of capacitance---a.k.a. the capacitance tensor.
(5) Convert your calculations above into the potential coefficients---a.k.a. the potential tensor.
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