1. What is Winding Resistance?

Winding resistance is the electrical resistance of the wire used in motor windings. It's calculated using the formula R = ρ × L/A, where ρ is resistivity, L is length, and A is cross-sectional area.

2. How Does the Calculator Work?

The calculator uses the winding resistance formula:

Where:

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

Explanation: The resistance increases with longer wire length and decreases with larger cross-sectional area, proportional to the material's resistivity.

3. Importance of Winding Resistance

Details: Winding resistance affects motor efficiency, heat generation, and power consumption. Accurate calculation helps in motor design and performance evaluation.

4. Using the Calculator

Tips: Enter resistivity in ohm-meters, length in meters, and cross-sectional area in square meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's typical resistivity for copper wire?
A: Copper at 20°C has resistivity of about 1.68×10⁻⁸ ohm-m. This increases with temperature.

Q2: How does temperature affect resistance?
A: Resistance increases with temperature according to R = R₀[1 + α(T - T₀)], where α is temperature coefficient.

Q3: Why is winding resistance important?
A: It causes I²R losses (heat), affects motor efficiency, and impacts voltage drop across windings.

Q4: How to measure cross-sectional area?
A: For round wire, A = πr² where r is radius. AWG tables provide standard wire diameters.

Q5: What affects resistivity?
A: Material type, temperature, and impurities affect resistivity. Pure metals have lowest resistivity.