the resistance of a wire of 0.01 cm radius is 10 Ω. if the resistivity of the material of the wire is Ω.m, find the length of the wire.
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Answer:
Given:
⠀⠀⠀⠀⠀Resistance = 10 ohm
⠀⠀Radius of wire = 0.01 cm
⠀⠀⠀⠀⠀⠀⠀⠀= 0.01x10^-2
⠀⠀⠀⠀Resistivity = 50x10^-8 ohm metre.
⠀Formula:
⠀⠀⠀⠀Length = Resistance area/Resistivity
⠀⠀⠀⠀⠀Area = 3.14x10^-8 sq.m
So length = 10*3.14x10^-8/50x10^-8
⠀⠀⠀⠀⠀⠀= 31.4/50
⠀⠀⠀⠀⠀= 0.628 m
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