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Resistivity using Area of X-Section(DC 3-Wire) Calculator

Formula Used:

\[ \rho = \frac{P_{loss} \times A}{2 \times L \times I^2} \]

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Ampere

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1. What is the Resistivity Calculation Formula?

The resistivity calculation formula determines how strongly a material opposes the flow of electric current. It's calculated using line losses, cross-sectional area, wire length, and current in a DC 3-wire system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{P_{loss} \times A}{2 \times L \times I^2} \]

Where:

Explanation: The formula calculates material resistivity based on electrical losses and physical dimensions of the conductor.

3. Importance of Resistivity Calculation

Details: Accurate resistivity calculation is crucial for selecting appropriate materials for electrical wiring, minimizing energy losses, and ensuring efficient power transmission in DC systems.

4. Using the Calculator

Tips: Enter line losses in watts, area in square meters, length in meters, and current in amperes. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is resistivity important in electrical systems?
A: Resistivity determines how much a material resists electric current flow, affecting energy efficiency and heat generation in electrical systems.

Q2: What are typical resistivity values for common conductors?
A: Copper has 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.

Q3: How does temperature affect resistivity?
A: For most materials, resistivity increases with temperature due to increased atomic vibrations that impede electron flow.

Q4: Why use a 3-wire DC system?
A: 3-wire DC systems provide better voltage regulation and can serve both high and low voltage loads simultaneously.

Q5: Can this calculator be used for AC systems?
A: This specific formula is designed for DC systems. AC systems require additional considerations for inductive and capacitive effects.

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