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Resistivity Using Volume Of Conductor Material(DC Three-Wire US) Calculator

Formula Used:

\[ \rho = \frac{V \times P_{line} \times (V_m)^2}{5 \times (P \times l)^2} \]

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1. What is Resistivity?

Resistivity is the measure of how strongly a material opposes the flow of current through them. It's a fundamental property that determines how well a material conducts electricity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{V \times P_{line} \times (V_m)^2}{5 \times (P \times l)^2} \]

Where:

Explanation: This formula calculates the resistivity of conductor material based on volume, line losses, maximum voltage, power transmitted, and wire length in a DC three-wire US system.

3. Importance of Resistivity Calculation

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

4. Using the Calculator

Tips: Enter all values in their respective SI units. Ensure all values are positive and valid for accurate calculation results.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect resistivity?
A: Resistivity depends on material composition, temperature, and impurities in the conductor material.

Q2: Why is resistivity important in electrical systems?
A: Lower resistivity means better conductivity, which leads to less energy loss and more efficient power transmission.

Q3: What are typical resistivity values for common conductors?
A: Copper has resistivity of 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.

Q4: How does temperature affect resistivity?
A: For most conductors, resistivity increases with temperature due to increased atomic vibrations that impede electron flow.

Q5: What's the difference between resistance and resistivity?
A: Resistance is a property of a specific object, while resistivity is an intrinsic property of the material itself, independent of shape or size.

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