According to the Ohm's law, the current in a wire is
I=RV Substituting the numerical values, we obtain:
I=12.2⋅10−3Ω23V≈1.89⋅103A The current density is a current flowing through a unit cross-sectional area of a wire:
j=SI=πd24I Substituting the numerical values, we obtain:
j=3.14⋅22⋅10−64⋅1.89⋅103≈6.0⋅108m2A The resistivity of a wire material is:
R=ρSl⇒ρ=lRS=4lRπd2 Substituting the numerical values, we obtain:
ρ=4⋅612.2⋅10−3⋅3.14⋅22≈6.3⋅10−3mOhm⋅mm2
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