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Resistance(2-Wire DC OS) Calculator

Formula Used:

\[ R = \frac{\rho \cdot L}{A} \]

Ω·m
m

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1. What is the Resistance(2-Wire DC OS) Formula?

The Resistance(2-Wire DC OS) formula calculates the electrical resistance of a two-wire overhead DC system using the fundamental relationship between resistivity, length, and cross-sectional area of the conductor.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R = \frac{\rho \cdot L}{A} \]

Where:

Explanation: This formula demonstrates that resistance is directly proportional to the resistivity and length of the conductor, and inversely proportional to its cross-sectional area.

3. Importance of Resistance Calculation

Details: Accurate resistance calculation is crucial for designing efficient power transmission systems, determining voltage drop, calculating power losses, and ensuring proper system operation in overhead DC electrical networks.

4. Using the Calculator

Tips: Enter resistivity in Ω·m, length in meters, and cross-sectional area in m². All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect the resistivity of a material?
A: Resistivity depends on the material type, temperature, and in some cases, pressure and other environmental conditions.

Q2: Why is resistance important in power transmission?
A: Resistance causes power loss (I²R losses) and voltage drop in transmission lines, affecting system efficiency and performance.

Q3: How does wire length affect resistance?
A: Resistance increases proportionally with the length of the conductor - doubling the length doubles the resistance.

Q4: How does cross-sectional area affect resistance?
A: Resistance decreases inversely with cross-sectional area - doubling the area halves the resistance.

Q5: 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.

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