Question

A uniform wire of resistance `R` is shaped into a regular `n-`sided polygon (`n` is even), The equivalent resistance between any two corners can have.
(i) the maximum value `(R )/(4)`
(ii) the minimum value `( R)/(n)`
(iii) the minimum value `R((n -1)/(n^2))`
(iv) the minimum value `(R )/(n)`.
A. (i),(ii)
B. (i),(iii)
C. (i) only
D. (i),(iv)

Answer 1

Correct Answer - B
`n = 2, 4, 6,`….
For `R_(max)` :

`R_(eq) = R//4`
For `R_(min)` :

`R_(eq) = ((R)/(n).(n-1)(R)/(n))/(R)`
=`(R(n-1))/(n^2)`.