Question

A uniform wire with a resistance of is divided into three equal pieces and then they are joined in parallel . find the equivalent resistance of the parallel combination.

Medium

Solution

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R=27 ohm
after dividing them into equal parts,
resistance of each part =9 ohm
when connected in parallel,
1/9+1/9+1/9=1/R
3(1/9)=1/R
1/3=1/R
R=3 ohm

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