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What is the Equivalent Resistance Between the Points X and Y for the Given Network?

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Question

What is the equivalent resistance between the points X and Y for the given network?

Short/Brief Note
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Solution

An equivalent circuit for the combination

`1/"R" = 1/"R"_1 + 1/"R"_2 + 1/"R"_3`

R1 = 5 + 3 = 8 Ω

R2 = 8 Ω

R3 = 1 + 3 = 4 Ω

`1/"R" = 1/8 + 1/8 + 1/4`

`1/"R" = (1 + 1 + 2)/8`

`= 4/8 = 1/2`

R = 2 Ω 

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