Question

A wire of resistance 24ohm is bent into the shape of an equilateral triangle. Calculate the equivalent resistance across any two vertices

Answer 1

hey mate!
here is your answer:

as the wire is bent in the shape of equilateral triangle , each side will have 24/3 resistance =8 ohm

now, let the triangle be ABC and we need to find current between BC so, lets connect a battery to BC

now, current is in series in BA and AC
so, equivalent resistance =8+8=16ohn

and now, 16ohm resistance is parallel to BC
so, 1/Re=1/16+1/8=1+2/16=3/16
Re=16/3=5.33ohm

hope it helped^_^