The resistance of a 40 cm nickeline conductor is 16 ohms. What is the cross-sectional area of the conductor?

Let us give the values from given in the SI system:
l = 40 cm = 0.4 m
Let’s write an expression to determine the resistivity of the wire:
ρsp = R * Ssec / l, where R is the resistance of the wire, l is the length of the wire, Ssec is the cross-sectional area.
Let us express from this expression the cross-sectional area of the conductor:
Ssection = ρsp * l / R
Substituting numerical values, we determine the area:
Ssection = ρsp * l / R = 0.4 * 0.4 / 16 = 0.01
Let’s define the dimension:
Ohm * mm² * m / (m * Ohm) = mm²
Answer: the cross-sectional area of the wire is 0.01 mm².



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