Resistance Formula:
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Definition: This calculator computes the electrical resistance of a nichrome wire based on its resistivity, length, and diameter.
Purpose: It helps engineers, electricians, and hobbyists determine the resistance of nichrome wire for heating elements and electrical circuits.
The calculator uses the formula:
Where:
Explanation: The resistance increases with length and decreases with larger cross-sectional area, proportional to the material's resistivity.
Details: Accurate resistance calculation is crucial for designing heating elements, determining power requirements, and ensuring circuit safety.
Tips: Enter the resistivity (default 1.10 × 10⁻⁶ Ω·m for nichrome), wire length in meters, and diameter in millimeters. All values must be > 0.
Q1: What is nichrome's typical resistivity?
A: Nichrome (80/20 alloy) typically has ρ ≈ 1.10 × 10⁻⁶ Ω·m at room temperature.
Q2: How does temperature affect resistance?
A: Nichrome's resistance increases with temperature (positive temperature coefficient).
Q3: Can I use this for other wire materials?
A: Yes, but you'll need to input the correct resistivity value for that material.
Q4: Why is diameter input in mm but calculations in meters?
A: Wire diameters are commonly measured in mm, but the formula requires SI units (meters).
Q5: How accurate is this calculation?
A: It provides theoretical resistance; actual resistance may vary slightly due to manufacturing tolerances and temperature effects.