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 :

Options

A. the maximum value `R//4`
B. the maximum value `R//n`
C. the minimum value `R((n - 1)/(n^(2)))`
D. the minimum value `R//n`

Answer

a,c,

Explanation

The resistance of each side of polygon `= R//n`. For maximum resistance between opposite correct we have two resistance each of `R//2` in parallel
The maximum resistance `= ((R//2)xx (R//2))/((R//2)+(R//2)) = (R )/(4)`
For resistance between adjacent current, we have two resistance `R//n` and `(n- 1) R//n` in parallel Their effective resistance
`= ((R//n) xx[(n - 1)R//n])/((R//n) + (n - 1)R//n) = (R(n- 1))/(n^(2))`