The specific resistance of the material of a wire is 44x10-8Ωm.If the resistance of the wire is 14Ω and its diameter is 1 mm,calculate the length of the wire
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Given :
Resistivity of the conductor = 44x10^-8
ohm
R = 14 ohm
Diameter = 1mm
Area = TTD^2/4 = 1/4x( 10^-3 )^2 m^2
We know that ,
Length of wire = ResistancexArea/Resistivity of the conductor
= 14 * 17/4 * ( 10 ^ -6 ) * 1 / 44 * 10 ^ -8
= 14 * ( 22 / 7 * 4 ) * 10 ^ -6 * 1 / 44 * 10 ^ -8
= 14 * 22/28 * 100/44
= 22/2 * 100/44
= 100/4
= 25m
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