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

Formula Used:

\[ Area\ of\ Overhead\ DC\ Wire = \frac{Resistivity \times Length\ of\ Wire\ DC}{Resistance\ Overhead\ DC} \]

Area of Overhead DC Wire:

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1. What is the Area Calculation Formula?

The formula calculates the cross-sectional area of an overhead DC wire based on its resistivity, length, and resistance. This is essential for determining the proper wire size in electrical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Area = \frac{Resistivity \times Length}{Resistance} \]

Where:

\( Resistivity \) (ρ) — Material's resistance per unit length and cross-sectional area (Ω·m)
\( Length \) (L) — Total length of the wire (m)
\( Resistance \) (R) — Total resistance of the wire (Ω)
\( Area \) (A) — Cross-sectional area of the wire (m²)

Explanation: The formula derives from the fundamental relationship between resistance, resistivity, length, and cross-sectional area of a conductor.

3. Importance of Cross-Sectional Area Calculation

Details: Accurate area calculation is crucial for proper wire sizing, ensuring efficient power transmission, preventing overheating, and maintaining system safety in electrical installations.

4. Using the Calculator

Tips: Enter resistivity in Ω·m, length in meters, and resistance in ohms. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is cross-sectional area important in wire selection?
A: Cross-sectional area determines current-carrying capacity, voltage drop, and thermal characteristics of the wire.

Q2: 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.

Q3: How does temperature affect the calculation?
A: Resistivity changes with temperature, so measurements should be taken at standard temperature or appropriate corrections applied.

Q4: Can this formula be used for AC systems?
A: While the basic principle applies, AC systems require additional considerations for skin effect and proximity effect.

Q5: What safety factors should be considered?
A: Always include appropriate safety margins for current rating, voltage drop, and environmental conditions in practical applications.