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A spherical drop of capacitance 12 muF i...

A spherical drop of capacitance `12 muF` is broken into eight drops of equal radius. What is the capacitance of each small drop in `muF`?

Text Solution

Verified by Experts

The correct Answer is:
6
(6) Volume of eight drops`=`Volume of big frop
`8xx4/3pir^(3)=4/3piR^(3)` or `r=R/2`
`C=4piepsilon_(0)R=12 muF`
Thus, capacitance of smaller drop is
`C=4piepsilon_(0)r=(4piepsilon_(0)R)/2=(12)/2=6 muF`.
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