If a copper wire is stretched by one tenth of its original length then change in resistance is
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R = ρL/A
Original is L * A
Original Volume = LA
Stretch wire Length = L + (L/10) = 11L/10
Stretched wire Area = LA / (11L/10) = 10A/11
Stretched wire resistance = ρ(11L/10)/(10A/11)
= ρ(L/A)(11*11)/(10*10)
ρ(L/A)*121/100
= R*121/100
Change = R*121/100 - R = 21R/100
% Change = {(21R/100)/R}*100 = 21 %
21 % Increase in Resistance
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