Aluminium wire has radius 0.25 mm and length or 75 m. If the resistance of the wire is 10Ω, calculate the resistivity of aluminium.
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Explanation:
Resistivity = (R x A)/length
Radius = 0.25mm = 0.00025 m
length = 75m
Resistance = 10 ohms
Area of cross section = πr^2
= 22/7 x 0.00025 x 0.00025
Resistivity =
(10 x 22/7 x 0.00025 x 0.00025 ) ÷ 75
= (220/7 x 0.00025 x 0.00025)/75
= 2.63 x 10 to the power (-8) ohmmeter
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