1. What is Wire Resistance?

Wire resistance is the opposition to electric current flow through a conductor. It depends on the material's resistivity, the wire's length, and its cross-sectional area according to the formula R = ρL/A.

2. How Does the Calculator Work?

The calculator uses the resistance formula:

Where:

• \( R \) — Resistance (Ω)
• \( \rho \) — Resistivity of the material (Ω·m)
• \( L \) — Length of the wire (m)
• \( A \) — Cross-sectional area of the wire (m²)

Explanation: Resistance increases with length and resistivity, but decreases with increasing cross-sectional area.

3. Importance of Resistance Calculation

Details: Calculating wire resistance is essential for electrical circuit design, power transmission systems, and ensuring proper current flow in electronic devices.

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.

5. Frequently Asked Questions (FAQ)

Q1: What is resistivity?
A: Resistivity is an intrinsic property of materials that quantifies how strongly they oppose electric current flow.

Q2: Why does resistance increase with length?
A: Longer wires provide more obstacles for electrons to overcome, increasing the total resistance.

Q3: Why does resistance decrease with area?
A: Larger cross-sectional areas provide more pathways for electrons to flow, reducing resistance.

Q4: What are typical resistivity values?
A: Copper: 1.68×10⁻⁸ Ω·m, Aluminum: 2.82×10⁻⁸ Ω·m, Silver: 1.59×10⁻⁸ Ω·m, Gold: 2.44×10⁻⁸ Ω·m.

Q5: Does temperature affect resistance?
A: Yes, for most conductors, resistance increases with temperature due to increased atomic vibrations.