# The electrical resistivity of tungsten is 0.055 μOhm * m. What is the cross-sectional area of a 10 cm long

September 29, 2021 | education

| **The electrical resistivity of tungsten is 0.055 μOhm * m. What is the cross-sectional area of a 10 cm long tungsten wire with an electrical resistance of 100 Ohm?**

The resistance of a conductor depends on its parameters. From the cross-sectional area S of the wire, its length. We have, by condition, l = 10 cm = 0.1 m. From the material from which it is made, in our case, a tungsten wire is taken, with a specific electrical resistance of tungsten ρ = 0.055 μOhm • m. R = (ρ • l): S. In this formula, it is necessary to find the cross-sectional area S = (ρ • l): R. since the electrical resistance of the wire is given in the problem statement. R = 100 ohms. S = (0.055 μOhm • m • 0.1 m): 100 Ohm = 0.55 μ (m • m) = 0.55 sq. Mm.

Answer: 0.55 sq. Mm.

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