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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

64q,C

B

16q,4C

C

64q, 4C

D

16q, 64C

Text Solution

Verified by Experts

The correct Answer is:
C
Total charge (Q) = nq = 64q
Potential of bigger sphere `(V.) = n^(2//3) V`
`=(64)^(2//3) V=16V`
Capacitance of small sphere `(C) = q/V`
Capacitance of big sphere (C.) `= (64q)/(16 V) = 4C`
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