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Eight chraged water drops, each with a r...

Eight chraged water drops, each with a radius of `1 mm` and a charge of `10^(10)C`, coalesce to from a single drop. The potential of the big is

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The correct Answer is:
3600 V

` (4)/(3) pi R^3 = 8 (4)/(3) pi r^3 rArr R = 2 mm`
` Q = 8q = 8 xx 10 xx 10 ^(-10 ) C `
` V = (1)/( 4pi epsi _0) (Q)/(R ) `
` = (9 xx 10 ^(9) xx 8 xx 10 ^(-9))/(2 xx 10 ^(-3) ) = 36000 ` Volt
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