The area and Cross Section of a wire is increased by 25%. Initial resistance is 8Ω Final resistance=
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Answer:
10.25 %
Explanation:
A wire is stretched to increase its length by 5% calculate percentage change in its resistance
Let say Resistance of Wire = R
Length = L
Area = A
Resistivity = ρ
R = ρL/A
Volume = V = LA
wire is stretched to increase its length by 5%
New L = L + (5/100)L = 1.05L
Volume remains same
so new Area = V/1.05L = A/1.05
New resistance = ρ 1.05L /(A/1.05)
New R = (ρL/A) * (1.05)²
New R = R * 1.05²
increase in R = R * 1.05² - R = R ( 1.05 + 1)(1.05 - 1) = R(2.05)(0.05)
% increase in R = (R(2.05)(0.5)/R ) * 100 = 2.05 * 5 = 10.25 %
10.25 % increase in resistance
PLS MARK BRAINLIEST
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