Two metallic spheres of radii 1 cm and 2 cm are given charges 10^-2C and 5 10^-2C respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

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Accepted Answer

Correct answer: D. (d) Radii of sphere (R_1 )=1 cm =1 10^-2m; (R_2 )=2 cm=2 10^-2mand charges on sphere; (Q_1 )=10^-2C and (Q_2 )=5 10^-2C . Common potential (V )= Totalcharge Totalcapacity= Q_1+Q_2C_1+C_2 = (1 10^-2)+(5 10^-2)4 _010^-2+4 _0(2 10^-2)= 6 10^-24 _0(3 10^-2) Therefore final charge on smaller sphere (C_1V )=4 _0 10^-2 6 10^-24 _0 3 10^-2=2 10^-2C .

$Two metallic spheres of radii 1 cm and 2 cm are given charges 1 0^{- 2} C and 5 \times 1 0^{- 2} C respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is$

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