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Resistivity Using Area Of X-Section(Two-Phase Three-Wire OS) Calculator

Formula Used:

\[ \rho = \frac{2 \times A \times (V_m)^2 \times P_{loss} \times (\cos(\Phi))^2}{(2+\sqrt{2}) \times L \times (P)^2} \]

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1. What is the Resistivity Calculation Formula?

The formula calculates the resistivity of a material used in two-phase three-wire overhead AC systems. Resistivity measures how strongly a material opposes the flow of electric current through it.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{2 \times A \times (V_m)^2 \times P_{loss} \times (\cos(\Phi))^2}{(2+\sqrt{2}) \times L \times (P)^2} \]

Where:

Explanation: The formula accounts for the relationship between material properties, system parameters, and power losses in overhead AC transmission systems.

3. Importance of Resistivity Calculation

Details: Accurate resistivity calculation is crucial for selecting appropriate materials for power transmission lines, minimizing energy losses, and ensuring efficient power delivery.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure positive values for all parameters (area > 0, voltage > 0, losses > 0, phase ≥ 0, length > 0, power > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is resistivity and why is it important?
A: Resistivity is a fundamental property of materials that determines their opposition to electric current flow. It's crucial for selecting appropriate conductor materials in electrical systems.

Q2: How does phase difference affect resistivity calculation?
A: Phase difference affects the power factor in AC systems, which influences the actual power losses and thus the calculated resistivity value.

Q3: What are typical resistivity values for common conductors?
A: Copper has resistivity of about 1.68×10⁻⁸ Ω·m, aluminum about 2.82×10⁻⁸ Ω·m, and silver about 1.59×10⁻⁸ Ω·m at 20°C.

Q4: Does temperature affect resistivity?
A: Yes, resistivity generally increases with temperature for most conductors. This calculator assumes standard temperature conditions.

Q5: When should this formula be used?
A: This specific formula is designed for two-phase three-wire overhead AC systems. Use appropriate formulas for different system configurations.

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