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The Length of Wire Using Resistance formula calculates the total length of an overhead AC wire in a two-phase three-wire system based on its resistance, cross-sectional area, and material resistivity. This calculation is essential for power transmission system design and analysis.
The calculator uses the formula:
Where:
Explanation: The formula accounts for the relationship between wire resistance, material properties, and physical dimensions in a two-phase three-wire overhead system.
Details: Accurate length calculation is crucial for power system design, voltage drop calculations, efficiency analysis, and proper sizing of electrical components in overhead transmission systems.
Tips: Enter resistance in ohms, area in square meters, and resistivity in ohm-meters. All values must be positive numbers greater than zero for accurate calculation.
Q1: Why is the square root of 2 included in the formula?
A: The \(\sqrt{2}\) factor accounts for the specific configuration and phase relationships in a two-phase three-wire overhead system.
Q2: What is typical resistivity for common conductor materials?
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.
Q3: How does temperature affect the calculation?
A: Resistivity changes with temperature, so use appropriate resistivity values for the operating temperature conditions.
Q4: Can this formula be used for DC systems?
A: The formula is specifically designed for AC systems. For DC systems, different formulas apply without the \(\sqrt{2}\) factor.
Q5: What are common applications of this calculation?
A: Power transmission line design, electrical grid planning, voltage drop analysis, and system efficiency optimization.