Question

Four resistances of 2.0Ω each are joined end to end, to form a square ABCD. Calculate the equivalent resistance of the combination between any two adjacent comers.

Answer 1

The diagram indicates a square ABCD formed by joining four resistances of 2Ω each, end to end.
Let us calculate the equivalent resistance of the combination B between the two adjacent comets C and D.

From given figure, arms DA, AB and BC are joined in series.

So, their equivalent of 6Ω and 2Ω are in parallel.

∴ The equivalent resistance of the combination is R.

Then, `1/"R" = 1/6 + 1/2 = 4/6 = 2/3`

∴ R = `3/2` Ω

= 1.5 Ω