This question has Statement 1 and Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: It is not possible to make a sphere

Question

This question has Statement 1 and Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: It is not possible to make a sphere of capacity 1 farad using a conducting material. Statement 2: It is possible for earth as its radius is 6.4 × 1 0 6 m .

TestHub · Accepted Answer

Capacitance of sphere is given by: C = 4 π ϵ 0 ​ r If, C = 1 F then radius of sphere needed: r = 4 π ϵ 0 ​ C ​ = 4 π × 8.85 × 1 0 − 12 1 ​ or, r = 4 π × 8.85 1 0 12 ​ = 9 × 1 0 9 m 9 × 1 0 9 m is very large, it is not possible to obtain such a large sphere. Infact earth has radius 6.4 × 1 0 6 m only and capacitance of earth is 711 μ F .

Physics - Capacitor Question with Solution | TestHub

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