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A hollow cylinder of specific resistance...

A hollow cylinder of specific resistance `rho`, inner radius `R`, outer radius `2R` and length l is as shown in figure. What is the net resistance between the inner and outer surfaces?

Text Solution

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Consider a ring of width .dr. and radius .r..
Resistance across the ring is

`dR = (rho dr)/(dA) =(rho dr)/(2pi rl)`
Net resistance `=int_(R)^(2R) (dr)/(2 rl) =ln(2)`
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