Question

if a wire of resistance 36 ohm is bend in the form of circle how will we find effective resistance between A and B which make sector of angle 30

Answer 1

Answer is 4.83
R1 - R2 = 36-36Cos30=Answer

Answer 2

The fraction of the wire between A and B is
$$
{30\times\cfrac{\pi}{180}\over 2\pi }=\cfrac{1}{12}
$$
So the fraction of resistance in that part of the wire is
$$
\cfrac{1}{12}\times 36=3 ~\Omega
$$

Answer 3

However the resistance will consist of 3 Ohm in parallel with 33 OhmSo the effective resistance is 2.75 Ohm