Area of X-Section(Two-Wire One Conductor Earthed) Calculator

Formula Used:

\[ A = \frac{2 \cdot P^2 \cdot \rho \cdot L}{P_{loss} \cdot V_m^2} \]

Power Transmitted (P):

Watt

Resistivity (ρ):

Ω·m

Length of Wire DC (L):

Meter

Line Losses (P_loss):

Watt

Maximum Voltage Overhead DC (V_m):

Volt

Area of X-Section (A):

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1. What is Area of X-Section Calculation?

The Area of X-Section calculation determines the cross-sectional area of overhead DC wires in a two-wire system with one conductor earthed. This calculation is essential for proper electrical system design and efficiency optimization.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{2 \cdot P^2 \cdot \rho \cdot L}{P_{loss} \cdot V_m^2} \]

Where:

\( A \) — Area of X-Section (m²)
\( P \) — Power Transmitted (Watt)
\( \rho \) — Resistivity (Ω·m)
\( L \) — Length of Wire DC (Meter)
\( P_{loss} \) — Line Losses (Watt)
\( V_m \) — Maximum Voltage Overhead DC (Volt)

Explanation: This formula calculates the required cross-sectional area to minimize power losses while maintaining efficient power transmission.

3. Importance of X-Section Area Calculation

Details: Proper cross-sectional area calculation ensures optimal power transmission efficiency, minimizes energy losses, prevents overheating, and maintains system safety and reliability.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure power, resistivity, length, losses, and voltage are all positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important in electrical wiring?
A: Cross-sectional area directly affects current carrying capacity, voltage drop, and power losses in electrical systems.

Q2: What factors affect the required cross-sectional area?
A: Power requirements, transmission distance, acceptable losses, voltage level, and material resistivity all influence the required area.

Q3: How does resistivity affect the calculation?
A: Higher resistivity materials require larger cross-sectional areas to achieve the same power transmission efficiency.

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 does voltage affect the required cross-sectional area?
A: Higher transmission voltages allow for smaller cross-sectional areas for the same power transmission, reducing material costs.