Physics
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Wire Resistance Calculator.
Calculate DC resistance from resistivity, length, and cross-sectional area.
Set your values
Results update as you type.
Results update automatically as you type.
Use Cases
Electrical Engineering Design
Determine the resistance of a wire for circuit design, voltage drop calculations, or power loss estimation.
Example: Calculate the resistance of a 100 m copper wire with a cross-sectional area of 1 mm² (1e-6 m²).
Physics Education
Verify theoretical resistance values in lab experiments or homework problems involving resistivity.
Example: Find the resistance of a nichrome wire with resistivity 1.1e-6 Ω·m, length 2 m, and area 0.5 mm².
Frequently Asked Questions
- How do I use the Wire Resistance Calculator?
- Enter the resistivity of the material (in Ω·m), the length of the wire (in meters), and the cross-sectional area (in square meters). The calculator will compute the DC resistance using the formula R = ρ * L / A.
- What units are used in this calculator?
- Resistivity is in ohm-meters (Ω·m), length is in meters (m), and cross-sectional area is in square meters (m²). The result is in ohms (Ω).
- Can I use this calculator for AC wires?
- This calculator is designed for DC resistance. For AC, factors like skin effect and inductance may affect the effective resistance, so it's not recommended for high-frequency AC applications.
Tips & Common Mistakes
Tips
- Ensure all inputs are in the correct SI units: resistivity in Ω·m, length in m, area in m². Convert if necessary.
- For a circular wire, area = π * (diameter/2)². If you have diameter, compute area first.
- Use the resistivity value specific to the material and temperature, as resistivity changes with temperature.
- Double-check your area conversion: 1 mm² = 1e-6 m², 1 cm² = 1e-4 m².
Common Mistakes to Avoid
- Forgetting to convert cross-sectional area to square meters (e.g., using mm² directly).
- Using diameter instead of radius in the area calculation for circular wires.
- Confusing resistivity with resistance; resistivity is a material property, resistance depends on geometry.
Last updated: August 13, 2026