Figure below shows a network of resistances. The effective resistance between points A and B of network

Resistance of arm AFE=3+3=6ΩThe arms AFE and AE are in parallel, their effective resistanc =6×66+6=3ΩResistance of arm AED =3+3=6Ω effective resistance between A and B of portionAFED=6×66+6=3Ω Effective resistance A and C of AFEDC =(3+3)×6(3+3)+6=3ΩResistance of arm AFEDCB =3+3=6ΩFor resistance between A and B, 6Ω and 3Ω are in parallel. Thus effective resistanceRp=3×63+6=2Ω