1. What Is The Resistance(Two-Phase Three-Wire OS) Formula?

The resistance formula calculates the electrical resistance of an overhead AC wire using the fundamental relationship between resistivity, length, and cross-sectional area. This is essential for determining power loss and efficiency in electrical transmission systems.

2. How Does The Calculator Work?

The calculator uses the resistance formula:

Where:

• \( R \) — Resistance Overhead AC (Ω)
• \( \rho \) — Resistivity of the material (Ω·m)
• \( L \) — Length of Overhead AC Wire (m)
• \( A \) — Area of Overhead AC Wire (m²)

Explanation: The resistance increases with higher resistivity and longer wire length, but decreases with larger cross-sectional area.

3. Importance Of Resistance Calculation

Details: Accurate resistance calculation is crucial for designing efficient power transmission systems, minimizing energy losses, and ensuring proper voltage regulation in electrical networks.

4. Using The Calculator

Tips: Enter resistivity in Ω·m, length in meters, and area in square meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect wire resistance?
A: Resistance is affected by the material's resistivity, wire length, cross-sectional area, and temperature.

Q2: Why is resistance important in power transmission?
A: Higher resistance leads to greater power losses (I²R losses) and voltage drops in transmission lines.

Q3: How does temperature affect resistance?
A: For most conductors, resistance increases with temperature due to increased atomic vibrations.

Q4: What are typical resistivity values for common conductors?
A: Copper: ~1.68×10⁻⁸ Ω·m, Aluminum: ~2.82×10⁻⁸ Ω·m, Silver: ~1.59×10⁻⁸ Ω·m.

Q5: How can resistance be reduced in transmission lines?
A: By using materials with lower resistivity, increasing cross-sectional area, or using shorter conductor lengths.