Find equivalent resistance between X and Y:-
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Part C is the correct answer...
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Calculating seperately the equivalent resistances,
$$ R^{}_{IH} = \dfrac{30}{3} = 10 \Omega $$ (Parallel resistors of equal resistance)
$$ R^{}_{CD} = R^{}_{GF} = 0 $$ (Short circuit)
Now,we can directly calculate
1) $$ R^{}_{IF} = R^{}_{IH} + R^{}_{HG} + R^{}_{GF} $$ (Series connection)
$$ \implies R^{}_{IF} = 10 + 20 = 30 \Omega $$
2) $$ R^{}_{AE} = R^{}_{AB} + R^{}_{BC} + R^{}_{CD} $$ (Series connection)
$$ \implies R^{}_{AE} = 10 + 20 = 30 \Omega $$
Now,
$$ R^{}_{XY} = \dfrac{R^{}_{AE} \times R^{}_{IF}}{R^{}_{AE} + R^{}_{IF}} \implies R^{}_{XY} = 15 \Omega $$
Explanation:
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