Define resistance of a conductor and calculate equivalent resistance between points x and y : 2ω y x 2ω 2ω 1ω 4ω
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Resistance of AF and FE are in series. So total = 2+2 = 4 ohm
Now it is in parallel with AE(4 ohm).
So effective resistance between A and E is \frac{1}{1/4+1/4} = \frac{1}{2/4} =4/2=2
1/4+1/4
1
=
2/4
1
=4/2=2 ohm.
Now it is in series with ED(2 ohm). So total = 4 ohm which is in parallel with AD(4 ohm). So effective resistance between A and D is 2 ohm.
It goes on and finally the effective resistance between A and B is 2 ohm.
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