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Across X and Y there are two resistance connected in parallel one is 40Ω and other is wheat stone bridge
Equivalent resistance of wheat stone bridge is R
1
=
20+20
20×20
=10Ω and other is R
2
=40Ω coneected in parallel
R
eq
=
40+10
10×40
=
50
400
=8Ω
Hence the resistance across the X and Y is 8Ω
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