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Three long concentric conducting cylindr...

Three long concentric conducting cylindrical shells have radii `R,2R` and `Rsqrt(2 )`. Inner and outer shells are connceted to each other. The capacitance across middle and inner shells per unit length is:

A

`((1)/(3)in_(0))/(ln(2)`

B

`(6pi in_(0))/(ln2)`

C

`(pi in_(0))/(2ln2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Capacitane per unit length of cylinderical capacitor `C = (2pi in_(0))/(lnR_(2)//R_(1))`
It is a combination of two capacitor connected in parallel.
`C_(eq) = C_(1) +C_(2) = (2pi in_(0))/(ln2) +(2pi in_(0))/(lnsqrt(2)) = (6pi in_(0))/(ln2)`
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