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The thickness of air layer between two ...

The thickness of air layer between two coating of a spherical capacitor is 2cm. The capacitor has same capacitor as the sphere of 1.2m diameter. Find the radii of its surfaces.

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Here, `(4pi in_(0) ab)/(b-a) = 4pi in_(0) R`
`(ab)/(b-a) = R`
As `b - a = 2cm R = (1.2)/(2) m = 60 cm`
`:. (ab)/(2) = 60 or ab = 120`
As `(b+a)^(2) = (b-a)^(2) + 4ab = (2)^(2) + 4xx120 = 484`
`b + a = 22`
`2 + a + a = 22 [:' b - a = 2cm]`
`:. a = 10 cm, b = 12 cm`
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