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Question
A wire of uniform thickness with a resistance of 27Ω is cut into three equal pieces and they are joined in parallel. Find the equivalent resistance of the parallel combination.
Solution
Wire cut into three pieces means new resistance = `27/3` = 9 ohm
Now three resistance connected in parallel :
`1/"R"_"P"=1/"R"_1+1/"R"_2+1/"R"_3=1/9+1/9+1/9`
RP = `9/3` = 3 ohm
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