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.
Simran Bhatia
12 Years agoGrade 11
1 Answer
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)
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