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A wire of 20 Omega resistance is gradual...

A wire of `20 Omega` resistance is gradually stretched to double its original length. It is then cut into two equal parts. These parts are then connected in parallel across a 4.0 volt battery. Find the current drawn from the battery.

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When any resistor is stretched to double its original length, the new resistance becomes four times of its original resistance.
Here, `R=20 Omega` and `V=4.0` volt
`:.` New resistance `=4R=4xx20=80 Omega`
Resistance of each part `=40 Omega`
`:. R_(1)=40 Omega, R_(2)=40 Omega`
Effective resistance in pararllel combination `R_(P)` is
`1/R_(P)=1/40+1/40=2/40=1/20" "[ :' 1/R_(P)=1/R_(1)+1/R_(2)]`
`:. R_(P)=20 Omega`
Current, `I=V/R_(P)=4.0/20=0.2 A`
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