a wire of resistance 4 ohms is bent to form a circle. what is the resisitance between two

Question

a wire of resistance 4 ohms is bent to form a circle. what is the resistance between two ends of the diameter

Answer 1

Two semi circles form a parallel connection.  Each semi circle has a resitsnce = 2 ohm

 

Two resistances in parallel results in an effective resistance of (1/R + 1/R)^-1 -= 1 ohm.

 

Resistnce = 1 ohm.