determine the resistance of a copper wire having a length of 1 km and diameter of 0.2 mm
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First make uniform measurements units
Copper resistivity is 1,68 x 10 ^ -8 Ohm Meter
Length 1 Km = 1000 m
Diameter = 0.5 mm = 0.005 meter
Area = Pi x D x D /4 = Pi x 0.0005 x 0.0005 /4 = 1.96 x 10^-7 Sq Mtr
Resistance = (Resistivity x Length)/Area
= 1,68 x 10^-8 x 1000 /(1,96 x10^–7 = 857 x 10^-1 = 85.7 Ohms
Explanation:
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