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Using three resistors A = 2 ohm, B = 4 ohm and C = 6 ohm, which connection gives an equivalent resistance of 22/3 ohm?

1. A and C in parallel, then in series with B.
2. A and B in parallel, then in series with C.
3. A and C in series, then in parallel with B.
4. B and C in series, then in parallel with A.

Correct answer: A and B in parallel, then in series with C.

Solution

A parallel with B gives (2*4)/(2+4) = 8/6 = 4/3 ohm; adding C in series gives 4/3 + 6 = 22/3 ohm, matching the target.

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