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  4. If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

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Q. If the circumference of a sphere is 2 m, then capacitance of sphere in water would be

BVP MedicalBVP Medical 2009

Solution:

Given, circumference $ 2\pi r=2 $ Now, capacitance of a sphere $ =4\pi {{\varepsilon }_{0}}r $ $ \therefore $ $ C=4{{\varepsilon }_{0}} $ Capacitance of sphere in water = KC $ =K(4\,\,{{\varepsilon }_{0}})=80\times 4\times 8.85\times {{10}^{-12}} $ [As $ {{K}_{water}}=80 $ ] $ \simeq 2800pF $