Question

a uniform wire of resistance 6 ohm is bent in the form of a closed equilateral triangle. equivalent resistance across any two of its corner is

Answer 1

wire is of 6 ohm resistance then resistance of each side of triangle will be 2 ohms.

Then combination of resistance will be 2 ohm with parallel of series combination of 2 ohm and 2 ohm.

which is equal to 2 ohm with parallel to 4 ohm.

So equivalent resistance is 2*4/(2+4) = 4/3 ohms.