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Sixty four identical sphere of change q ...

Sixty four identical sphere of change q and capacitance C each are combined to form a large sphere . The charge and capacitance of the large sphere is

A

64 q, C

B

16 q, 4C

C

64 q, 4 C

D

16 q , 4 C

Text Solution

Verified by Experts

The correct Answer is:
c
64 drops have formed a single drop of radius R.
`therefore(4)/(3)piR^(3)=64(4)/(3)pir^(3)rArrR=4r`.
`Q_("total")=64q`.
As `C.(Q)/(V)andV=(1)/(4piepsilon_(0))(Q)/(R)`
`thereforeC.=4piepsilon_(0)R`
`rArrC.=(4piepsilon_(0)).4r rArrC.=4C`.
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