Resistivity Using Volume Of Conductor Material(2-Wire Mid-Point Earthed OS) Calculator

Formula Used:

\[ \rho = \frac{V \times P_{loss} \times (V_m^2)}{(P \times L)^2} \]

Volume of Conductor:

m³

Line Losses:

Maximum Voltage Overhead DC:

Power Transmitted:

Length of Wire DC:

Resistivity:

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1. What is the Resistivity Calculation Formula?

The resistivity calculation formula estimates the electrical resistivity of conductor material using volume, line losses, maximum voltage, transmitted power, and wire length. This helps in determining the material's ability to oppose electric current flow.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{V \times P_{loss} \times (V_m^2)}{(P \times L)^2} \]

Where:

\( \rho \) — Resistivity (Ω·m)
\( V \) — Volume of Conductor (m³)
\( P_{loss} \) — Line Losses (W)
\( V_m \) — Maximum Voltage Overhead DC (V)
\( P \) — Power Transmitted (W)
\( L \) — Length of Wire DC (m)

Explanation: The formula calculates resistivity by considering the relationship between conductor volume, power losses, voltage, transmitted power, and wire length.

3. Importance of Resistivity Calculation

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

4. Using the Calculator

Tips: Enter all values in appropriate units (volume in m³, losses in W, voltage in V, power in W, length in m). All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is electrical resistivity?
A: Electrical resistivity is a fundamental property that quantifies how strongly a material opposes the flow of electric current.

Q2: Why is resistivity important in electrical engineering?
A: Resistivity helps engineers select appropriate materials for conductors, design efficient electrical systems, and calculate power losses.

Q3: What factors affect resistivity?
A: Resistivity depends on material composition, temperature, and impurities in the conductor material.

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 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.