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There is an infinite triangular lattice; the edges of the lattice are made of wire, and the resistance of each edge is R. Let us denote the corners of a triangular lattice face by A, B and C. The wire connecting B and C is cut off. Determine the resistance between A and B.

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$\frac{R}{8}$

$\frac{R}{6}$

$\frac{R}{4}$

$\frac{3 R}{8}$

answer is D.

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Detailed Solution

First complete the grid, then connect ‘–R’ resistance between B and C.

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