Answer :
Final answer:
The resistance of the aluminum wire can be calculated using the formula R = ρ * (L/A), where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire. The resistivity of aluminum is approximately 2.65 x 10-8 Ωm. By substituting the given values into the resistance formula, the resistance of the aluminum wire can be determined.
Explanation:
The resistance (R) of a wire can be calculated using the formula:
R = ρ * (L/A)
Where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
To find the resistance of the aluminum wire, we need to know the resistivity of aluminum. The resistivity of aluminum is approximately 2.65 x 10-8 Ωm.
First, we need to convert the diameter to radius by dividing it by 2: r = 9.85 mm / 2 = 4.925 mm = 0.004925 m.
Next, we can calculate the cross-sectional area using the formula for the area of a circle: A = π * r2.
Finally, we can substitute the values into the resistance formula to find the resistance of the aluminum wire: R = (2.65 x 10-8 Ωm) * (51.7 m / (π * (0.004925 m)2)).
