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Grade 11Electromagnetic Induction

Two conducting spheres of radii R1 and R2 are kept widely separated from each other. What are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combination? Think in terms of series-parallel connections.

Profile image of Simran Bhatia
12 Years agoGrade 11
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1 Answer

Profile image of Kevin Nash
12 Years ago
Sol. C = q/V , Now V = Kq/R So, C base 1 = q/(Kq/R base 1) = R base 1/K = 4 πε base 0R base 1 Similarly c base 2 = 4 πε base 0R base 2 The combination is necessarily parallel. Hence Ceq = 4 πε base 0R base 1 + 4 πε base 0R base 2 = 4 πε base 0(R base 1 + R base 2)