Formula Used:
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The Resistance(2-Wire DC OS) formula calculates the electrical resistance of a two-wire overhead DC system using the fundamental relationship between resistivity, length, and cross-sectional area of the conductor.
The calculator uses the formula:
Where:
Explanation: This formula demonstrates that resistance is directly proportional to the resistivity and length of the conductor, and inversely proportional to its cross-sectional area.
Details: Accurate resistance calculation is crucial for designing efficient power transmission systems, determining voltage drop, calculating power losses, and ensuring proper system operation in overhead DC electrical networks.
Tips: Enter resistivity in Ω·m, length in meters, and cross-sectional area in m². All values must be positive numbers greater than zero for accurate calculation.
Q1: What factors affect the resistivity of a material?
A: Resistivity depends on the material type, temperature, and in some cases, pressure and other environmental conditions.
Q2: Why is resistance important in power transmission?
A: Resistance causes power loss (I²R losses) and voltage drop in transmission lines, affecting system efficiency and performance.
Q3: How does wire length affect resistance?
A: Resistance increases proportionally with the length of the conductor - doubling the length doubles the resistance.
Q4: How does cross-sectional area affect resistance?
A: Resistance decreases inversely with cross-sectional area - doubling the area halves the resistance.
Q5: 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 at 20°C.