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

| September 14, 2021 | education

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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