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Nine wires each of resistance R are conn...

Nine wires each of resistance `R` are connected to make a prism as shown in figure. Find the equivalent resistance of the arrangement across `AB`

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The correct Answer is:
3
By symmetry, points D and E have the same potential. Similarly, points C and F
have the same potential
`r_(eq) = (((3r))/(2)r)/((3r)/(2) +r) = (3r)/(5) = (3)/(5)xx5 = 3Omega`
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