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

(a) the maximum value R/4 

(b) the maximum value R/n

(c) the minimum value R (n - 1/n²)

(d) the minimum value R/n

Answer 1

Correct Answer is: (a) the maximum value R/4 , (c) the minimum value R (n - 1/n²)

The resistance of each side = R/n.

For resistance between opposite corners, we have two resistors of resistance R/2 in parallel.

For resistance between adjacent corners, we have two resistors of resistances R/n and (n - 1) R/n in parallel.