It can be shown that the capacitance of a conducting sphere of radius R is R/k, where
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It can be shown that the capacitance of a conducting sphere of radius R is R/k, where k is the Coulomb's law constant, k = 8.99 × 109 N ( m2/C2. In this arrangement the second conductor of the capacitor is taken to be a concentric conducting spherical shell of infinite radius. Treating the Earth as a conducting sphere of radius 6.37 × 106 m, what is its capacitance?
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