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Four wires AB, BC, CD and DA, each of resistance 4 ohm, together with a fifth wire BD of resistance 8 ohm forming the diagonal, make a rectangle ABCD. Find the effective resistance between points A and B.

1. 24 ohm
2. 16 ohm
3. 4/3 ohm
4. 8/3 ohm

Correct answer: 8/3 ohm

Solution

Between A and B, one branch is AB (4 ohm) and the other is A-D-B-with-C network; combining gives 8/3 ohm.

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