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A conducting liquid bubble of radius a a...

A conducting liquid bubble of radius a and thickeness ` t ( tltlt a)` is charged to potenital `V`. If the bubble collapses to a droplet , find the potential on the droplet .

Text Solution

Verified by Experts

The correct Answer is:
` V' = (a/(3t))^(1//3) . V`
Since `V= (Kq)/R`
so `V'/V = R/R' rArr V' /V a/R` ...(1)
From vohume `4 pi a^@ t = 4/3 pi R^3`
`rArr R = (3 a^2 r)^(1//3)` ...(2)
From (1) and (2)
`V' = ( a^3 /(3a^2t))^(1//2) =(a/( 3t))^(1//3)V`.
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