How will the resistance of the circuit section change if the copper conductor is replaced with

How will the resistance of the circuit section change if the copper conductor is replaced with a tungsten conductor of the same dimensions?

Lm = Lv.

Sм = Sв.

ρm = 0.017 Ohm * mm2 / m.

ρv = 0.055 Ohm * mm2 / m.

Rw / Rm -?

The resistance of a homogeneous cylindrical conductor R is determined by the formula: R = ρ * L / S, where ρ is the resistivity of the conductor material, L is the length of the conductor, S is the cross-sectional area of ​​the conductor.

The resistance of copper Rm and tungsten Rw wires will be determined by the corresponding formulas: Rm = ρm * Lm / Sm, Rw = ρw * Lw / Sv.

Rw / Rm = ρw * Lw * Sm / ρm * Lm * Sv = ρw / ρm.

Rv / Rm = 0.055 Ohm * mm2 / m / 0.017 Ohm * mm2 / m = 3.2.

Answer: the resistance of the tungsten wire is 3.2 times greater than the resistance of the copper lawyer: Rv / Rm = 3.2.




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