A uniform wire of resistance R is shaped into a regular n-sided polygo

1.	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» 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.

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»

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.