Answer :
Final answer:
The resistance of the aluminum wire can be determined using the formula R = ρL/A, where ρ is the resistivity of aluminum, L is the length of the wire, and A is the cross-sectional area, which is calculated from the diameter of the wire.
Explanation:
To find the resistance of an aluminum wire, we use the formula R = ρL/A, where ρ is the resistivity of aluminum, L is the length of the wire, and A is the cross-sectional area of the wire. The resistivity of aluminum is typically about 2.65 × 10-8 Ω·m. The length of the wire is given as L = 51.7 meters. To find the cross-sectional area A, we first convert the diameter of the wire from millimeters to meters (9.85 mm = 0.00985 m) and use the formula for the area of a circle, A = π(0.00985/2)2. Calculating the area and then the resistance will give us the resistance R of the aluminum wire.
