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A uniform wire of resistance R is slaped...

A uniform wire of resistance `R` is slaped into a regular n-sided polygon (n is seven). The equivalent resistance between any two corners can have :

A

the maximum value` R//4`

B

the maximum value `R//n`

C

the value of equivalent resistance is `R((n-1)/n^2)`

D

the minimum value `R//n`

Text Solution

Verified by Experts

`R_(eq)=R/n||((n-1))/n R`
`R_(eq)=(R/n times ((n-1))/n R)/(R/n+((n-1))/n R=((n-1))/n^2 R`
`R_(eq)` is maximum for n=2 and `R_(eq)` decreases towards zero as n becomes very large.
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