Three resistances $4\,\Omega $ each of are connected in the form of an equilateral triangle. The effective resistance between two corners is
AIPMT 1993, Medium
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Two resistances in series are connected parallel with the third.

Hence $\frac{1}{{{R_p}}} = \frac{1}{4} + \frac{1}{8} = \frac{3}{8}$ $ \Rightarrow $ ${R_p} = \frac{8}{3}\,\Omega $

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