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Question:

Calculate the ratio of the resistance of 15.0m of aluminum wire 2.0mm in diameter, to 21.0m of copper wire 3.0?

Calculate the ratio of the resistance of 15.0m of aluminum wire 2.0mm in diameter, to 21.0m of copper wire 3.0?

Answer:

Used resistivity ρ at 20°CYou may have to redo based on your courses numbersA π d² / 4 π (2.0mm)² / 4 3.142 10⁻⁶ m² R ρ ℓ / A 2.83 10⁻⁸ Ωm 15m / 3.142 10⁻⁶ m² 0.1351Ω A π d² / 4 π (3.0mm)² / 4 7.069 10⁻⁶ m² R ρ ℓ / A 1.72 10⁻⁸ Ωm 21m / 7.069 10⁻⁶ m² 0.05110Ω R_Al / R_Cu 0.1351Ω / 0.05110Ω 2.644 2.6 (rounded to 2 sig fig)
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