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Two metal spheres of radii a and b are c...

Two metal spheres of radii `a` and `b` are connected by a thin wire. Their separation is very large compared to their dimensions. The capacitance of this system is

A

`4piepsilon_0(ab)`

B

`2piepsilon_0(a+b)`

C

`4piepsilon_0(a+b)`

D

`4piepsilon_0((a^2+b^2)/2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`C=C_1+C_2`
`=(4piepsilon_0a)+(4piepsilon_0b)`
`=4piepsilon_0(a+b)`
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