Question

what is the resistance of a 4000 km long annealed copper wire with a 0.00075 m² cross-section? assume annealed copper's resistivity is 1.72 x 10⁻⁸ ω·m.

Answer 1

0.09173 Ω (ohms).

Step-by-step explanation:

To calculate the resistance of the annealed copper wire, we can use the formula:

Resistance = (Resistivity * Length) / Cross-sectional Area

Given:

Length of the wire (L) = 4000 km = 4,000,000 meters

Cross-sectional Area (A) = 0.00075 m²

Resistivity of annealed copper (ρ) = 1.72 x 10⁻⁸ Ω·m

Plugging in these values into the formula, we get:

Resistance = (1.72 x 10⁻⁸ Ω·m * 4,000,000 m) / 0.00075 m²

Resistance = 9.173 x 10⁻² Ω

Therefore, the resistance of the 4000 km long annealed copper wire with a 0.00075 m² cross-section is approximately 0.09173 Ω (ohms).