Two wires of equal length one of aluminium and the other of copper
Answers
Two wires of equal length but different materials. As they are of different materials, their specific resistivity differs.
Answer:
Resistivity of aluminium, ρAl = 2.63 × 10−8 Ω m
Relative density of aluminium, d1 = 2.7
Let l1 be the length of aluminium wire and m1 be its mass.
Resistance of the aluminium wire = R1
Area of cross-section of the aluminium wire = A1
Resistivity of copper, ρCu = 1.72 × 10−8 Ω m
Relative density of copper, d2 = 8.9
Let l2 be the length of copper wire and m2 be its mass.
Resistance of the copper wire = R2
Area of cross-section of the copper wire = A2
The two relations can be written as....(see above photo)....
It can be inferred from this ratio that m1 is less than m2. Hence, aluminium is lighter than copper. Since aluminium is lighter, it is preferred for overhead power cables over copper.Read more on Sarthaks.com - https://www.sarthaks.com/18346/two-wires-of-equal-length-one-of-aluminium-and-th jiie-other-of-copper-have-the-same-resistance.
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