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There are 27 drops of a conducting fluid. each has a radius r

Question

There are $27$ drops of a conducting fluid. each has a radius r and they are charged to a potential $V_{0}$ . These are combined to form a bigger drop. Its potential will be:

V_{0}

3 V_{0}

9 V_{0}

29 V_{0}

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There are

27

drops of a conducting fluid. each has a radius r and they are charged to a potential

V_{0}

. These are combined to form a bigger drop. Its potential will be:

12 mins ago

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12 mins ago

Text solutionVerified

Q

be the charge on each drop.

Change on big drop is

Q = 27 g

R

be the radius of bigger drop,

\frac{4}{3} π R^{3} = 27 (\frac{4}{3} π R^{3}) \Rightarrow R = 3 r

Thus,

V_{1} = k \frac{q}{r}

and

V_{2} = k \frac{Q}{R} = k \frac{27 q}{3 r} = 6 k \frac{q}{r} = 9 V_{1} ∴ \frac{V _{2}}{V _{1}} = 9

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Question Text	There are $27$ drops of a conducting fluid. each has a radius r and they are charged to a potential $V_{0}$ . These are combined to form a bigger drop. Its potential will be:
Answer Type	Text solution:1
Upvotes	150