Area of X-Section using Resistance (Two-Phase Three-Wire OS) Calculator

Formula Used:

\[ A = \frac{R \times \sqrt{2}}{\rho \times L} \]

Resistance Overhead AC (R):

Ohm

Resistivity (ρ):

Ohm Meter

Length of Overhead AC Wire (L):

Meter

Area of Overhead AC Wire (A):

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1. What is Area of X-Section using Resistance?

The Area of X-Section using Resistance formula calculates the cross-sectional area of an overhead AC wire based on its resistance, resistivity, and length. This calculation is essential for determining the appropriate wire size in electrical power transmission systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{R \times \sqrt{2}}{\rho \times L} \]

Where:

\( A \) — Area of Overhead AC Wire (m²)
\( R \) — Resistance Overhead AC (Ohm)
\( \rho \) — Resistivity (Ohm Meter)
\( L \) — Length of Overhead AC Wire (Meter)

Explanation: The formula calculates the cross-sectional area required for a given resistance, considering the material's resistivity and the wire length.

3. Importance of Cross-Sectional Area Calculation

Details: Accurate calculation of cross-sectional area is crucial for designing efficient power transmission systems, minimizing energy losses, and ensuring proper current carrying capacity.

4. Using the Calculator

Tips: Enter resistance in ohms, resistivity in ohm meters, and length in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is the square root of 2 used in the formula?
A: The square root of 2 factor accounts for the two-phase three-wire system configuration in overhead AC transmission.

Q2: What is typical resistivity for copper conductors?
A: Copper has a resistivity of approximately 1.68 × 10⁻⁸ ohm meters at 20°C.

Q3: How does temperature affect the calculation?
A: Resistivity changes with temperature, so calculations should use resistivity values at the expected operating temperature.

Q4: What are common applications of this calculation?
A: This calculation is used in designing overhead power lines, determining appropriate wire gauges, and optimizing electrical transmission systems.

Q5: How accurate is this calculation method?
A: The calculation provides theoretical values that should be verified with practical measurements and consider safety factors for real-world applications.