Question

Какое сопротивление имеет алюминиевый провод длиной 1962,5м, если радиус его сечения 2,5 мм?

Answer 1

Сопротивление проводника через его удельное сопротивление ρ, длину L и площадь поперечного сечения S рассчитывается как R=ρ*L/S, где  ρ алюминия равно 2,8*10-⁸ Ом*м. R= 2,8*10-⁸*1962,5/(2,5*10-³)=2,8 Ом.
Ответ: 2,8 Ом.

Answer 2

Calculating the Resistance of Aluminum Wire

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

Resistance (R) = ρ * (L / A)

Where: - ρ = resistivity of aluminum - L = length of the wire - A = cross-sectional area of the wire

First, let's find the resistivity of aluminum and then calculate the cross-sectional area of the wire.

Finding the Resistivity of Aluminum

The resistivity of aluminum is approximately 2.65 x 10^-8 ohm meters.

Calculating the Cross-Sectional Area of the Wire

The cross-sectional area (A) of the wire can be calculated using the formula:

A = π * r^2

Where: - r = radius of the wire

Given that the radius of the wire is 2.5 mm, we can calculate the cross-sectional area.

A = π * (2.5 mm)^2

Converting Radius to Meters

To ensure consistency, let's convert the radius from millimeters to meters: - 1 mm = 0.001 meters

So, the radius in meters is: 2.5 mm = 0.0025 meters

Calculating the Cross-Sectional Area

Substituting the radius in meters into the formula: A = π * (0.0025 meters)^2

Calculating the Resistance

Now that we have the resistivity of aluminum and the cross-sectional area of the wire, we can calculate the resistance using the formula: R = ρ * (L / A)

Given: - L = 1962.5 meters - ρ = 2.65 x 10^-8 ohm meters - A = π * (0.0025 meters)^2

We can now calculate the resistance of the aluminum wire.