the length of wire is increased by 0.1% of its initial length, how many percentage by its resistance will increase
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Assume initially,
Length=l
Cross−sectionarea=A
Resistance=R
After increase, Length=l′
Cross-sectional area=A′
Resistance=R′
l′=l+0.1%l=l+1000.1l=1.001l
But, volume remains same.
V′=V⇒A′l′=Al
⇒A′(1001)L=Al
∴A′=1.001A
New Resistance(R′)=ρA
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