Conductor Resistance Calculator

Formula

The formula to calculate the resistance of a conductor is:

\[ R = \frac{\rho \cdot L}{S} \]

Where:

\( R \) is the resistance in ohms (Ω)
\( \rho \) is the resistivity of the material in ohm meters (Ω·m)
\( L \) is the length of the conductor in meters (m)
\( S \) is the cross-sectional area in square meters (m²)

What is Conductor Resistance?

Conductor resistance is a measure of how much a conductor opposes the flow of electric current. The resistance depends on the material's resistivity, the length of the conductor, and the cross-sectional area. Different materials have different resistivities, which are often used to design circuits and electrical systems.

Example Calculation

Let's assume the following values:

Length (L): 24 meters
Radius (r): 0.6 millimeters
Material: Copper (\( \rho = 1.7 \times 10^{-2} \) Ω·m)

Step 1: Convert the radius from millimeters to meters:

\[ r = \frac{0.6}{1000} = 0.0006 \text{ meters} \]

Step 2: Calculate the cross-sectional area:

\[ S = \pi \times (0.0006)^2 \approx 1.13 \times 10^{-6} \text{ m}^2 \]

Step 3: Calculate the resistance:

\[ R = \frac{1.7 \times 10^{-2} \times 24}{1.13 \times 10^{-6}} \approx 1.5 \text{ Ω} \]